313311113313 has 16 divisors (see below), whose sum is σ = 482532624576. Its totient is φ = 178715786240.

The previous prime is 313311113303. The next prime is 313311113329.

313311113313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313311113313 - 2⁵ = 313311113281 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313311113303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279242856 + ... + 279243977.

It is an arithmetic number, because the mean of its divisors is an integer number (30158289036).

Almost surely, 2^313311113313 is an apocalyptic number.

313311113313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313311113313 is a deficient number, since it is larger than the sum of its proper divisors (169221511263).

313311113313 is a wasteful number, since it uses less digits than its factorization.

313311113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558486864.

The product of its digits is 729, while the sum is 24.

It can be divided in two parts, 313311 and 113313, that added together give a palindrome (426624).

The spelling of 313311113313 in words is "three hundred thirteen billion, three hundred eleven million, one hundred thirteen thousand, three hundred thirteen".