31310401313 has 2 divisors, whose sum is σ = 31310401314. Its totient is φ = 31310401312.

The previous prime is 31310401289. The next prime is 31310401327.

31310401313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27598180129 + 3712221184 = 166127^2 + 60928^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31310401313 - 2¹⁸ = 31310139169 is a prime.

It is a super-2 number, since 2×31310401313² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31310401013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655200656 + 15655200657.

It is an arithmetic number, because the mean of its divisors is an integer number (15655200657).

Almost surely, 2^31310401313 is an apocalyptic number.

It is an amenable number.

31310401313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31310401313 is an equidigital number, since it uses as much as digits as its factorization.

31310401313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 31310401313 in words is "thirty-one billion, three hundred ten million, four hundred one thousand, three hundred thirteen".