diff --git a/Doc/c-api/arg.rst b/Doc/c-api/arg.rst
index 96068d988af..dfedf972feb 100644
--- a/Doc/c-api/arg.rst
+++ b/Doc/c-api/arg.rst
@@ -489,11 +489,11 @@ and the following format units are left untouched.
    ``H`` (integer) [unsigned short int]
       Convert a C :ctype:`unsigned short int` to a Python integer object.
 
-   ``I`` (integer/long) [unsigned int]
-      Convert a C :ctype:`unsigned int` to a Python long integer object.
+   ``I`` (integer) [unsigned int]
+      Convert a C :ctype:`unsigned int` to a Python integer object.
 
-   ``k`` (integer/long) [unsigned long]
-      Convert a C :ctype:`unsigned long` to a Python long integer object.
+   ``k`` (integer) [unsigned long]
+      Convert a C :ctype:`unsigned long` to a Python integer object.
 
    ``L`` (long) [PY_LONG_LONG]
       Convert a C :ctype:`long long` to a Python integer object. Only available
diff --git a/Doc/c-api/intro.rst b/Doc/c-api/intro.rst
index d165f166307..33e6060d657 100644
--- a/Doc/c-api/intro.rst
+++ b/Doc/c-api/intro.rst
@@ -607,7 +607,7 @@ extra checks are performed:
 
 * Sanity checks of the input arguments are added to frame creation.
 
-* The storage for long ints is initialized with a known invalid pattern to catch
+* The storage for ints is initialized with a known invalid pattern to catch
   reference to uninitialized digits.
 
 * Low-level tracing and extra exception checking are added to the runtime
diff --git a/Doc/c-api/typeobj.rst b/Doc/c-api/typeobj.rst
index a7ba6607405..6d98d6b8645 100644
--- a/Doc/c-api/typeobj.rst
+++ b/Doc/c-api/typeobj.rst
@@ -135,7 +135,7 @@ type objects) *must* have the :attr:`ob_size` field.
    :attr:`ob_size` field, and the instance size is :attr:`tp_basicsize` plus N
    times :attr:`tp_itemsize`, where N is the "length" of the object.  The value of
    N is typically stored in the instance's :attr:`ob_size` field.  There are
-   exceptions:  for example, long ints use a negative :attr:`ob_size` to indicate a
+   exceptions:  for example, ints use a negative :attr:`ob_size` to indicate a
    negative number, and N is ``abs(ob_size)`` there.  Also, the presence of an
    :attr:`ob_size` field in the instance layout doesn't mean that the instance
    structure is variable-length (for example, the structure for the list type has
@@ -812,7 +812,7 @@ type objects) *must* have the :attr:`ob_size` field.
 
    where :attr:`tp_basicsize`, :attr:`tp_itemsize` and :attr:`tp_dictoffset` are
    taken from the type object, and :attr:`ob_size` is taken from the instance.  The
-   absolute value is taken because long ints use the sign of :attr:`ob_size` to
+   absolute value is taken because ints use the sign of :attr:`ob_size` to
    store the sign of the number.  (There's never a need to do this calculation
    yourself; it is done for you by :cfunc:`_PyObject_GetDictPtr`.)
 
diff --git a/Doc/library/math.rst b/Doc/library/math.rst
index f171ec1a3f9..ab39424373c 100644
--- a/Doc/library/math.rst
+++ b/Doc/library/math.rst
@@ -118,7 +118,7 @@ Number-theoretic and representation functions
 .. function:: trunc(x)
 
    Return the :class:`Real` value *x* truncated to an :class:`Integral` (usually
-   a long integer). Delegates to ``x.__trunc__()``.
+   an integer). Delegates to ``x.__trunc__()``.
 
 
 Note that :func:`frexp` and :func:`modf` have a different call/return pattern
diff --git a/Doc/library/reprlib.rst b/Doc/library/reprlib.rst
index c1364a37102..0da29fc9bfc 100644
--- a/Doc/library/reprlib.rst
+++ b/Doc/library/reprlib.rst
@@ -65,7 +65,7 @@ which format specific object types.
 
 .. attribute:: Repr.maxlong
 
-   Maximum number of characters in the representation for a long integer.  Digits
+   Maximum number of characters in the representation for an integer.  Digits
    are dropped from the middle.  The default is ``40``.