313531363135313 has 2 divisors, whose sum is σ = 313531363135314. Its totient is φ = 313531363135312.

The previous prime is 313531363135307. The next prime is 313531363135343.

313531363135313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228994886660929 + 84536476474384 = 15132577^2 + 9194372^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313531363135313 - 2⁴⁴ = 295939177090897 is a prime.

It is not a weakly prime, because it can be changed into another prime (313531363135343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156765681567656 + 156765681567657.

It is an arithmetic number, because the mean of its divisors is an integer number (156765681567657).

Almost surely, 2^{313531363135313} is an apocalyptic number.

It is an amenable number.

313531363135313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313531363135313 is an equidigital number, since it uses as much as digits as its factorization.

313531363135313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 984150, while the sum is 44.

The spelling of 313531363135313 in words is "three hundred thirteen trillion, five hundred thirty-one billion, three hundred sixty-three million, one hundred thirty-five thousand, three hundred thirteen".