31375257313 has 2 divisors, whose sum is σ = 31375257314. Its totient is φ = 31375257312.

The previous prime is 31375257281. The next prime is 31375257359.

It is a happy number.

31375257313 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., 15797221969 + 15578035344 = 125687^2 + 124812^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31375257313 - 2⁵ = 31375257281 is a prime.

It is not a weakly prime, because it can be changed into another prime (31375257113) 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, 15687628656 + 15687628657.

It is an arithmetic number, because the mean of its divisors is an integer number (15687628657).

Almost surely, 2^31375257313 is an apocalyptic number.

It is an amenable number.

31375257313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31375257313 is an equidigital number, since it uses as much as digits as its factorization.

31375257313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 198450, while the sum is 40.

The spelling of 31375257313 in words is "thirty-one billion, three hundred seventy-five million, two hundred fifty-seven thousand, three hundred thirteen".