313111303111313 has 32 divisors (see below), whose sum is σ = 378822504403200. Its totient is φ = 253078481811456.

The previous prime is 313111303111307. The next prime is 313111303111331.

313111303111313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313111303111313 - 2¹⁴ = 313111303094929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313111303111813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99648233 + ... + 102742361.

It is an arithmetic number, because the mean of its divisors is an integer number (11838203262600).

Almost surely, 2^{313111303111313} is an apocalyptic number.

It is an amenable number.

313111303111313 is a deficient number, since it is larger than the sum of its proper divisors (65711201291887).

313111303111313 is a wasteful number, since it uses less digits than its factorization.

313111303111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105801.

The product of its (nonzero) digits is 729, while the sum is 26.

It can be divided in two parts, 31311130 and 3111313, that added together give a palindrome (34422443).

The spelling of 313111303111313 in words is "three hundred thirteen trillion, one hundred eleven billion, three hundred three million, one hundred eleven thousand, three hundred thirteen".