313312404213313 has 16 divisors (see below), whose sum is σ = 320451712244352. Its totient is φ = 306270455040000.

The previous prime is 313312404213307. The next prime is 313312404213329.

313312404213313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313312404213313 - 2¹³ = 313312404205121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313312404213713) 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, 42051328 + ... + 48938113.

It is an arithmetic number, because the mean of its divisors is an integer number (20028232015272).

Almost surely, 2^{313312404213313} is an apocalyptic number.

It is an amenable number.

313312404213313 is a deficient number, since it is larger than the sum of its proper divisors (7139308031039).

313312404213313 is a wasteful number, since it uses less digits than its factorization.

313312404213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90989976.

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 31331240 and 4213313, that added together give a palindrome (35544553).

The spelling of 313312404213313 in words is "three hundred thirteen trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, three hundred thirteen".