31311100111313 has 16 divisors (see below), whose sum is σ = 34173364945536. Its totient is φ = 28451471811840.

The previous prime is 31311100111301. The next prime is 31311100111339.

It is a happy number.

31311100111313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31311100111313 - 2⁴ = 31311100111297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31311100111513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222030281 + ... + 222171257.

It is an arithmetic number, because the mean of its divisors is an integer number (2135835309096).

Almost surely, 2^{31311100111313} is an apocalyptic number.

It is an amenable number.

31311100111313 is a deficient number, since it is larger than the sum of its proper divisors (2862264834223).

31311100111313 is a wasteful number, since it uses less digits than its factorization.

31311100111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150184.

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

It can be divided in two parts, 31311100 and 111313, that added together give a palindrome (31422413).

The spelling of 31311100111313 in words is "thirty-one trillion, three hundred eleven billion, one hundred million, one hundred eleven thousand, three hundred thirteen".