31131100113113 has 144 divisors (see below), whose sum is σ = 44422941974400. Its totient is φ = 21537176693760.

The previous prime is 31131100113083. The next prime is 31131100113121.

It is a happy number.

31131100113113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31131100113113 - 2⁶ = 31131100113049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31131100113133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 694728653 + ... + 694773461.

It is an arithmetic number, because the mean of its divisors is an integer number (308492652600).

Almost surely, 2^{31131100113113} is an apocalyptic number.

It is an amenable number.

31131100113113 is a deficient number, since it is larger than the sum of its proper divisors (13291841861287).

31131100113113 is a wasteful number, since it uses less digits than its factorization.

31131100113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45152 (or 45132 counting only the distinct ones).

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

It can be divided in two parts, 31131100 and 113113, that added together give a palindrome (31244213).

The spelling of 31131100113113 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred million, one hundred thirteen thousand, one hundred thirteen".