101311131 has 16 divisors (see below), whose sum is σ = 140755968. Its totient is φ = 64744800.

The previous prime is 101311087. The next prime is 101311151. The reversal of 101311131 is 131113101.

It is not a de Polignac number, because 101311131 - 2⁷ = 101311003 is a prime.

It is a super-2 number, since 2×101311131² = 20527890528998322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4861 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (8797248).

Almost surely, 2^101311131 is an apocalyptic number.

101311131 is a deficient number, since it is larger than the sum of its proper divisors (39444837).

101311131 is a wasteful number, since it uses less digits than its factorization.

101311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101311131 is about 10065.3430641981. The cubic root of 101311131 is about 466.1786586167.

Adding to 101311131 its reverse (131113101), we get a palindrome (232424232).

The spelling of 101311131 in words is "one hundred one million, three hundred eleven thousand, one hundred thirty-one".