311131202131113 has 128 divisors (see below), whose sum is σ = 535590048903168. Its totient is φ = 156292493220864.

The previous prime is 311131202131111. The next prime is 311131202131121.

311131202131113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311131202131113 - 2¹ = 311131202131111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311131202131111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104788306 + ... + 107716532.

It is an arithmetic number, because the mean of its divisors is an integer number (4184297257056).

Almost surely, 2^{311131202131113} is an apocalyptic number.

It is an amenable number.

311131202131113 is a deficient number, since it is larger than the sum of its proper divisors (224458846772055).

311131202131113 is a wasteful number, since it uses less digits than its factorization.

311131202131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928511.

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 31113120 and 2131113, that added together give a palindrome (33244233).

The spelling of 311131202131113 in words is "three hundred eleven trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, one hundred thirteen".