31113100131113 has 64 divisors (see below), whose sum is σ = 42370762936320. Its totient is φ = 22059604627200.

The previous prime is 31113100131083. The next prime is 31113100131173.

It is a happy number.

31113100131113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31113100131113 - 2⁸ = 31113100130857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31113100131173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394902158 + ... + 394980936.

It is an arithmetic number, because the mean of its divisors is an integer number (662043170880).

Almost surely, 2^{31113100131113} is an apocalyptic number.

It is an amenable number.

31113100131113 is a deficient number, since it is larger than the sum of its proper divisors (11257662805207).

31113100131113 is a wasteful number, since it uses less digits than its factorization.

31113100131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84438.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 31113100 and 131113, that added together give a palindrome (31244213).

The spelling of 31113100131113 in words is "thirty-one trillion, one hundred thirteen billion, one hundred million, one hundred thirty-one thousand, one hundred thirteen".