313414222414313 has 16 divisors (see below), whose sum is σ = 338148918911040. Its totient is φ = 289591201944000.

The previous prime is 313414222414259. The next prime is 313414222414333.

313414222414313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313414222414313 - 2⁸ = 313414222414057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313414222414333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218689618 + ... + 1218946763.

It is an arithmetic number, because the mean of its divisors is an integer number (21134307431940).

Almost surely, 2^{313414222414313} is an apocalyptic number.

It is an amenable number.

313414222414313 is a deficient number, since it is larger than the sum of its proper divisors (24734696496727).

313414222414313 is a wasteful number, since it uses less digits than its factorization.

313414222414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437636568.

The product of its digits is 165888, while the sum is 38.

The spelling of 313414222414313 in words is "three hundred thirteen trillion, four hundred fourteen billion, two hundred twenty-two million, four hundred fourteen thousand, three hundred thirteen".