311351153113 has 64 divisors (see below), whose sum is σ = 428972544000. Its totient is φ = 218120636160.

The previous prime is 311351153041. The next prime is 311351153117.

311351153113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311351153113 - 2¹⁷ = 311351022041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311351153117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15442363 + ... + 15462511.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696000).

Almost surely, 2^311351153113 is an apocalyptic number.

It is an amenable number.

311351153113 is a deficient number, since it is larger than the sum of its proper divisors (117621390887).

311351153113 is a wasteful number, since it uses less digits than its factorization.

311351153113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20582.

The product of its digits is 2025, while the sum is 28.

It can be divided in two parts, 311351 and 153113, that added together give a palindrome (464464).

The spelling of 311351153113 in words is "three hundred eleven billion, three hundred fifty-one million, one hundred fifty-three thousand, one hundred thirteen".