100113011131 has 32 divisors (see below), whose sum is σ = 122354749440. Its totient is φ = 80007619104.

The previous prime is 100113011111. The next prime is 100113011153. The reversal of 100113011131 is 131110311001.

It is not a de Polignac number, because 100113011131 - 2⁷ = 100113011003 is a prime.

It is a super-2 number, since 2×100113011131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100113011111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2886016 + ... + 2920498.

It is an arithmetic number, because the mean of its divisors is an integer number (3823585920).

Almost surely, 2^100113011131 is an apocalyptic number.

100113011131 is a deficient number, since it is larger than the sum of its proper divisors (22241738309).

100113011131 is a wasteful number, since it uses less digits than its factorization.

100113011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34855.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100113011131 its reverse (131110311001), we get a palindrome (231223322132).

The spelling of 100113011131 in words is "one hundred billion, one hundred thirteen million, eleven thousand, one hundred thirty-one".