313643343346313 has 16 divisors (see below), whose sum is σ = 333598722428160. Its totient is φ = 294351813302400.

The previous prime is 313643343346213. The next prime is 313643343346349.

313643343346313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313643343346313 - 2²⁰ = 313643342297737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313643343346373) 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, 486370595 + ... + 487015032.

It is an arithmetic number, because the mean of its divisors is an integer number (20849920151760).

Almost surely, 2^{313643343346313} is an apocalyptic number.

It is an amenable number.

313643343346313 is a deficient number, since it is larger than the sum of its proper divisors (19955379081847).

313643343346313 is a wasteful number, since it uses less digits than its factorization.

313643343346313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973385968.

The product of its digits is 15116544, while the sum is 50.

The spelling of 313643343346313 in words is "three hundred thirteen trillion, six hundred forty-three billion, three hundred forty-three million, three hundred forty-six thousand, three hundred thirteen".