diff --git a/hy/_compat.py b/hy/_compat.py
index a2ab7a5..0da0b09 100644
--- a/hy/_compat.py
+++ b/hy/_compat.py
@@ -17,11 +17,6 @@ PY38 = sys.version_info >= (3, 8)
 # It is always true on Pythons >= 3.3, which use USC-4 on all systems.
 UCS4 = sys.maxunicode == 0x10FFFF
 
-str_type     = str   if PY3 else unicode      # NOQA
-bytes_type   = bytes if PY3 else str          # NOQA
-long_type    = int   if PY3 else long         # NOQA
-string_types = str   if PY3 else basestring   # NOQA
-
 #
 # Inspired by the same-named `six` functions.
 #
diff --git a/hy/compiler.py b/hy/compiler.py
index 9a20daf..b1d6e2d 100755
--- a/hy/compiler.py
+++ b/hy/compiler.py
@@ -14,8 +14,7 @@ from hy.errors import (HyCompileError, HyTypeError, HyLanguageError,
 
 from hy.lex import mangle, unmangle, hy_parse, parse_one_thing, LexException
 
-from hy._compat import (string_types, str_type, bytes_type, long_type, PY3,
-                        PY36, PY38, reraise)
+from hy._compat import (PY3, PY36, PY38, reraise)
 from hy.macros import require, load_macros, macroexpand, tag_macroexpand
 
 import hy.core
@@ -512,7 +511,7 @@ class HyASTCompiler(object):
                 compiled_value = self.compile(value)
                 ret += compiled_value
 
-                arg = str_type(expr)[1:]
+                arg = str(expr)[1:]
                 keywords.append(asty.keyword(
                     expr, arg=ast_str(arg), value=compiled_value.force_expr))
 
@@ -1358,7 +1357,7 @@ class HyASTCompiler(object):
     def compile_maths_expression(self, expr, root, args):
         if len(args) == 0:
             # Return the identity element for this operator.
-            return asty.Num(expr, n=long_type(
+            return asty.Num(expr, n=(
                 {"+": 0, "|": 0, "*": 1}[root]))
 
         if len(args) == 1:
@@ -1763,7 +1762,7 @@ class HyASTCompiler(object):
 
     @builds_model(HyInteger, HyFloat, HyComplex)
     def compile_numeric_literal(self, x):
-        f = {HyInteger: long_type,
+        f = {HyInteger: int,
              HyFloat: float,
              HyComplex: complex}[type(x)]
         return asty.Num(x, n=f(x))
@@ -1810,9 +1809,9 @@ class HyASTCompiler(object):
     def compile_string(self, string):
         if type(string) is HyString and string.is_format:
             # This is a format string (a.k.a. an f-string).
-            return self._format_string(string, str_type(string))
+            return self._format_string(string, str(string))
         node = asty.Bytes if PY3 and type(string) is HyBytes else asty.Str
-        f = bytes_type if type(string) is HyBytes else str_type
+        f = bytes if type(string) is HyBytes else str
         return node(string, s=f(string))
 
     def _format_string(self, string, rest, allow_recursion=True):
@@ -1859,7 +1858,7 @@ class HyASTCompiler(object):
            try:
                model, item = parse_one_thing(item)
            except (ValueError, LexException) as e:
-               raise self._syntax_error(string, "f-string: " + str_type(e))
+               raise self._syntax_error(string, "f-string: " + str(e))
 
            # Look for a conversion character.
            item = item.lstrip()
@@ -1933,7 +1932,7 @@ def get_compiler_module(module=None, compiler=None, calling_frame=False):
 
     module = getattr(compiler, 'module', None) or module
 
-    if isinstance(module, string_types):
+    if isinstance(module, str):
         if module.startswith('<') and module.endswith('>'):
             module = types.ModuleType(module)
         else:
@@ -2098,7 +2097,7 @@ def hy_compile(tree, module, root=ast.Module, get_expr=False,
     """
     module = get_compiler_module(module, compiler, False)
 
-    if isinstance(module, string_types):
+    if isinstance(module, str):
         if module.startswith('<') and module.endswith('>'):
             module = types.ModuleType(module)
         else:
diff --git a/hy/completer.py b/hy/completer.py
index 38cf8eb..0f65ae6 100644
--- a/hy/completer.py
+++ b/hy/completer.py
@@ -9,7 +9,7 @@ import sys
 
 import hy.macros
 import hy.compiler
-from hy._compat import builtins, string_types
+from hy._compat import builtins
 
 
 docomplete = True
@@ -78,7 +78,7 @@ class Completer(object):
         matches = []
         for p in self.path:
             for k in p.keys():
-                if isinstance(k, string_types):
+                if isinstance(k, str):
                     k = k.replace("_", "-")
                     if k.startswith(text):
                         matches.append(k)
@@ -89,7 +89,7 @@ class Completer(object):
         matches = []
         for p in self.tag_path:
             for k in p.keys():
-                if isinstance(k, string_types):
+                if isinstance(k, str):
                     if k.startswith(text):
                         matches.append("#{}".format(k))
         return matches
diff --git a/hy/contrib/hy_repr.hy b/hy/contrib/hy_repr.hy
index c99a45a..3baaebb 100644
--- a/hy/contrib/hy_repr.hy
+++ b/hy/contrib/hy_repr.hy
@@ -7,7 +7,7 @@
   re
   datetime
   collections
-  [hy._compat [PY3 PY36 str-type bytes-type long-type]]
+  [hy._compat [PY36]]
   [hy.models [HyObject HyExpression HySymbol HyKeyword HyInteger HyFloat HyComplex HyList HyDict HySet HyString HyBytes]])
 
 (try
@@ -84,10 +84,10 @@
     (+ "(" (-cat x) ")"))))
 
 (hy-repr-register [HySymbol HyKeyword] str)
-(hy-repr-register [str-type bytes-type] (fn [x]
+(hy-repr-register [str bytes] (fn [x]
   (setv r (.lstrip (-base-repr x) "ub"))
   (+
-    (if (instance? bytes-type x) "b" "")
+    (if (instance? bytes x) "b" "")
     (if (.startswith "\"" r)
       ; If Python's built-in repr produced a double-quoted string, use
       ; that.
@@ -96,10 +96,6 @@
       ; convert it.
       (+ "\"" (.replace (cut r 1 -1) "\"" "\\\"") "\"")))))
 (hy-repr-register bool str)
-(if (not PY3) (hy-repr-register int (fn [x]
-  (.format "(int {})" (-base-repr x)))))
-(if (not PY3) (hy-repr-register long_type (fn [x]
-  (.rstrip (-base-repr x) "L"))))
 (hy-repr-register float (fn [x]
   (if
     (isnan x)  "NaN"
@@ -131,7 +127,7 @@
     (-repr-time-innards x))))
 (defn -repr-time-innards [x]
   (.rstrip (+ " " (.join " " (filter identity [
-    (if x.microsecond (str-type x.microsecond))
+    (if x.microsecond (str x.microsecond))
     (if (not (none? x.tzinfo)) (+ ":tzinfo " (hy-repr x.tzinfo)))
     (if (and PY36 (!= x.fold 0)) (+ ":fold " (hy-repr x.fold)))])))))
 (defn -strftime-0 [x fmt]
diff --git a/hy/core/language.hy b/hy/core/language.hy
index 53af7fb..687bd5c 100644
--- a/hy/core/language.hy
+++ b/hy/core/language.hy
@@ -11,7 +11,6 @@
 (import [fractions [Fraction :as fraction]])
 (import operator)  ; shadow not available yet
 (import sys)
-(import [hy._compat [long-type]]) ; long for python2, int for python3
 (import [hy.models [HySymbol HyKeyword]])
 (import [hy.lex [tokenize mangle unmangle read read-str]])
 (import [hy.lex.exceptions [LexException PrematureEndOfInput]])
@@ -254,11 +253,11 @@ Return series of accumulated sums (or other binary function results)."
 
 (defn integer [x]
   "Return Hy kind of integer for `x`."
-  (long-type x))
+  (int x))
 
 (defn integer? [x]
   "Check if `x` is an integer."
-  (isinstance x (, int long-type)))
+  (isinstance x int))
 
 (defn integer-char? [x]
   "Check if char `x` parses as an integer."
diff --git a/hy/lex/__init__.py b/hy/lex/__init__.py
index d133f5f..b29709c 100644
--- a/hy/lex/__init__.py
+++ b/hy/lex/__init__.py
@@ -8,7 +8,7 @@ import re
 import sys
 import unicodedata
 
-from hy._compat import str_type, isidentifier, UCS4
+from hy._compat import isidentifier, UCS4
 from hy.lex.exceptions import PrematureEndOfInput, LexException  # NOQA
 from hy.models import HyExpression, HySymbol
 
@@ -116,7 +116,7 @@ def mangle(s):
 
     assert s
 
-    s = str_type(s)
+    s = str(s)
     s = s.replace("-", "_")
     s2 = s.lstrip('_')
     leading_underscores = '_' * (len(s) - len(s2))
@@ -147,7 +147,7 @@ def unmangle(s):
     form. This may not round-trip, because different Hy symbol names can
     mangle to the same Python identifier."""
 
-    s = str_type(s)
+    s = str(s)
 
     s2 = s.lstrip('_')
     leading_underscores = len(s) - len(s2)
@@ -203,4 +203,4 @@ def read(from_file=sys.stdin, eof=""):
 
 
 def read_str(input):
-    return read(StringIO(str_type(input)))
+    return read(StringIO(str(input)))
diff --git a/hy/lex/parser.py b/hy/lex/parser.py
index 6a1acfb..1d5ce24 100755
--- a/hy/lex/parser.py
+++ b/hy/lex/parser.py
@@ -9,7 +9,6 @@ from functools import wraps
 
 from rply import ParserGenerator
 
-from hy._compat import str_type
 from hy.models import (HyBytes, HyComplex, HyDict, HyExpression, HyFloat,
                        HyInteger, HyKeyword, HyList, HySet, HyString, HySymbol)
 from .lexer import lexer
@@ -214,7 +213,7 @@ def t_string(state, p):
         raise LexException.from_lexer("Can't convert {} to a HyString".format(p[0].value),
                                       state, p[0])
     return (HyString(s, is_format = is_format)
-        if isinstance(s, str_type)
+        if isinstance(s, str)
         else HyBytes(s))
 
 
diff --git a/hy/macros.py b/hy/macros.py
index e2cec31..97d0976 100644
--- a/hy/macros.py
+++ b/hy/macros.py
@@ -9,7 +9,7 @@ import traceback
 
 from contextlib import contextmanager
 
-from hy._compat import PY3, string_types, reraise, rename_function
+from hy._compat import PY3, reraise, rename_function
 from hy.models import replace_hy_obj, HyExpression, HySymbol, wrap_value
 from hy.lex import mangle
 from hy.errors import (HyLanguageError, HyMacroExpansionError, HyTypeError,
@@ -156,7 +156,7 @@ def require(source_module, target_module, assignments, prefix=""):
         parent_frame = inspect.stack()[1][0]
         target_namespace = parent_frame.f_globals
         target_module = target_namespace.get('__name__', None)
-    elif isinstance(target_module, string_types):
+    elif isinstance(target_module, str):
         target_module = importlib.import_module(target_module)
         target_namespace = target_module.__dict__
     elif inspect.ismodule(target_module):
diff --git a/hy/models.py b/hy/models.py
index 458d615..fbced02 100644
--- a/hy/models.py
+++ b/hy/models.py
@@ -6,7 +6,6 @@ from __future__ import unicode_literals
 from contextlib import contextmanager
 from math import isnan, isinf
 from hy import _initialize_env_var
-from hy._compat import PY3, str_type, bytes_type, long_type, string_types
 from hy.errors import HyWrapperError
 from fractions import Fraction
 from clint.textui import colored
@@ -88,7 +87,7 @@ def repr_indent(obj):
     return repr(obj).replace("\n", "\n  ")
 
 
-class HyString(HyObject, str_type):
+class HyString(HyObject, str):
     """
     Generic Hy String object. Helpful to store string literals from Hy
     scripts. It's either a ``str`` or a ``unicode``, depending on the
@@ -100,20 +99,20 @@ class HyString(HyObject, str_type):
         value.brackets = brackets
         return value
 
-_wrappers[str_type] = HyString
+_wrappers[str] = HyString
 
 
-class HyBytes(HyObject, bytes_type):
+class HyBytes(HyObject, bytes):
     """
     Generic Hy Bytes object. It's either a ``bytes`` or a ``str``, depending
     on the Python version.
     """
     pass
 
-_wrappers[bytes_type] = HyBytes
+_wrappers[bytes] = HyBytes
 
 
-class HySymbol(HyObject, str_type):
+class HySymbol(HyObject, str):
     """
     Hy Symbol. Basically a string.
     """
@@ -170,42 +169,39 @@ def strip_digit_separators(number):
     # Don't strip a _ or , if it's the first character, as _42 and
     # ,42 aren't valid numbers
     return (number[0] + number[1:].replace("_", "").replace(",", "")
-            if isinstance(number, string_types) and len(number) > 1
+            if isinstance(number, str) and len(number) > 1
             else number)
 
 
-class HyInteger(HyObject, long_type):
+class HyInteger(HyObject, int):
     """
     Internal representation of a Hy Integer. May raise a ValueError as if
-    int(foo) was called, given HyInteger(foo). On python 2.x long will
-    be used instead
+    int(foo) was called, given HyInteger(foo).
     """
 
     def __new__(cls, number, *args, **kwargs):
-        if isinstance(number, string_types):
+        if isinstance(number, str):
             number = strip_digit_separators(number)
             bases = {"0x": 16, "0o": 8, "0b": 2}
             for leader, base in bases.items():
                 if number.startswith(leader):
                     # We've got a string, known leader, set base.
-                    number = long_type(number, base=base)
+                    number = int(number, base=base)
                     break
             else:
                 # We've got a string, no known leader; base 10.
-                number = long_type(number, base=10)
+                number = int(number, base=10)
         else:
             # We've got a non-string; convert straight.
-            number = long_type(number)
+            number = int(number)
         return super(HyInteger, cls).__new__(cls, number)
 
 
 _wrappers[int] = HyInteger
-if not PY3:  # do not add long on python3
-    _wrappers[long_type] = HyInteger
 
 
 def check_inf_nan_cap(arg, value):
-    if isinstance(arg, string_types):
+    if isinstance(arg, str):
         if isinf(value) and "i" in arg.lower() and "Inf" not in arg:
             raise ValueError('Inf must be capitalized as "Inf"')
         if isnan(value) and "NaN" not in arg:
@@ -233,7 +229,7 @@ class HyComplex(HyObject, complex):
     """
 
     def __new__(cls, real, imag=0, *args, **kwargs):
-        if isinstance(real, string_types):
+        if isinstance(real, str):
             value = super(HyComplex, cls).__new__(
                 cls, strip_digit_separators(real)
             )
diff --git a/tests/test_models.py b/tests/test_models.py
index fd1b615..b9e6a90 100644
--- a/tests/test_models.py
+++ b/tests/test_models.py
@@ -5,14 +5,13 @@
 import copy
 import hy
 from clint.textui.colored import clean
-from hy._compat import long_type, str_type
 from hy.models import (wrap_value, replace_hy_obj, HyString, HyInteger, HyList,
                        HyDict, HySet, HyExpression, HyComplex, HyFloat, pretty)
 
 
-def test_wrap_long_type():
+def test_wrap_int():
     """ Test conversion of integers."""
-    wrapped = wrap_value(long_type(0))
+    wrapped = wrap_value(0)
     assert type(wrapped) == HyInteger
 
 
@@ -26,27 +25,27 @@ def test_wrap_tuple():
 
 def test_wrap_nested_expr():
     """ Test conversion of HyExpressions with embedded non-HyObjects."""
-    wrapped = wrap_value(HyExpression([long_type(0)]))
+    wrapped = wrap_value(HyExpression([0]))
     assert type(wrapped) == HyExpression
     assert type(wrapped[0]) == HyInteger
     assert wrapped == HyExpression([HyInteger(0)])
 
 
-def test_replace_long_type():
+def test_replace_int():
     """ Test replacing integers."""
-    replaced = replace_hy_obj(long_type(0), HyInteger(13))
+    replaced = replace_hy_obj(0, HyInteger(13))
     assert replaced == HyInteger(0)
 
 
 def test_replace_string_type():
     """Test replacing python string"""
-    replaced = replace_hy_obj(str_type("foo"), HyString("bar"))
+    replaced = replace_hy_obj("foo", HyString("bar"))
     assert replaced == HyString("foo")
 
 
 def test_replace_tuple():
     """ Test replacing tuples."""
-    replaced = replace_hy_obj((long_type(0), ), HyInteger(13))
+    replaced = replace_hy_obj((0, ), HyInteger(13))
     assert type(replaced) == HyList
     assert type(replaced[0]) == HyInteger
     assert replaced == HyList([HyInteger(0)])