313111111313 has 64 divisors (see below), whose sum is σ = 425582567424. Its totient is φ = 222449760000.

The previous prime is 313111111307. The next prime is 313111111321.

It is a happy number.

313111111313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313111111313 - 2¹⁸ = 313110849169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313111111343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44784248 + ... + 44791238.

It is an arithmetic number, because the mean of its divisors is an integer number (6649727616).

Almost surely, 2^313111111313 is an apocalyptic number.

It is an amenable number.

313111111313 is a deficient number, since it is larger than the sum of its proper divisors (112471456111).

313111111313 is a wasteful number, since it uses less digits than its factorization.

313111111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566.

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

It can be divided in two parts, 313111 and 111313, that added together give a palindrome (424424).

The spelling of 313111111313 in words is "three hundred thirteen billion, one hundred eleven million, one hundred eleven thousand, three hundred thirteen".