313053363216413 has 2 divisors, whose sum is σ = 313053363216414. Its totient is φ = 313053363216412.

The previous prime is 313053363216409. The next prime is 313053363216487. The reversal of 313053363216413 is 314612363350313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242053915518724 + 70999447697689 = 15558082^2 + 8426117^2 .

It is a cyclic number.

It is not a de Polignac number, because 313053363216413 - 2² = 313053363216409 is a prime.

It is a super-2 number, since 2×313053363216413² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313053363216493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156526681608206 + 156526681608207.

It is an arithmetic number, because the mean of its divisors is an integer number (156526681608207).

Almost surely, 2^{313053363216413} is an apocalyptic number.

It is an amenable number.

313053363216413 is a deficient number, since it is larger than the sum of its proper divisors (1).

313053363216413 is an equidigital number, since it uses as much as digits as its factorization.

313053363216413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1049760, while the sum is 44.

The spelling of 313053363216413 in words is "three hundred thirteen trillion, fifty-three billion, three hundred sixty-three million, two hundred sixteen thousand, four hundred thirteen".