312331103131313 has 6 divisors (see below), whose sum is σ = 363323936295666. Its totient is φ = 267712374112512.

The previous prime is 312331103131309. The next prime is 312331103131321. The reversal of 312331103131313 is 313131301133213.

It can be written as a sum of positive squares in only one way, i.e., 311909931984784 + 421171146529 = 17660972^2 + 648977^2 .

It is not a de Polignac number, because 312331103131313 - 2² = 312331103131309 is a prime.

It is a super-2 number, since 2×312331103131313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312331103131303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3187052072720 + ... + 3187052072817.

It is an arithmetic number, because the mean of its divisors is an integer number (60553989382611).

Almost surely, 2^{312331103131313} is an apocalyptic number.

It is an amenable number.

312331103131313 is a deficient number, since it is larger than the sum of its proper divisors (50992833164353).

312331103131313 is an equidigital number, since it uses as much as digits as its factorization.

312331103131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374104145551 (or 6374104145544 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 312331103131313 its reverse (313131301133213), we get a palindrome (625462404264526).

The spelling of 312331103131313 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred three million, one hundred thirty-one thousand, three hundred thirteen".