313755020557313 has 2 divisors, whose sum is σ = 313755020557314. Its totient is φ = 313755020557312.

The previous prime is 313755020557283. The next prime is 313755020557373.

313755020557313 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., 188928543736384 + 124826476820929 = 13745128^2 + 11172577^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313755020557313 - 2¹⁸ = 313755020295169 is a prime.

It is not a weakly prime, because it can be changed into another prime (313755020557373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156877510278656 + 156877510278657.

It is an arithmetic number, because the mean of its divisors is an integer number (156877510278657).

Almost surely, 2^{313755020557313} is an apocalyptic number.

It is an amenable number.

313755020557313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313755020557313 is an equidigital number, since it uses as much as digits as its factorization.

313755020557313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4961250, while the sum is 50.

The spelling of 313755020557313 in words is "three hundred thirteen trillion, seven hundred fifty-five billion, twenty million, five hundred fifty-seven thousand, three hundred thirteen".