2313313131257 has 2 divisors, whose sum is σ = 2313313131258. Its totient is φ = 2313313131256.

The previous prime is 2313313131253. The next prime is 2313313131329. The reversal of 2313313131257 is 7521313133132.

2313313131257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2305869583081 + 7443548176 = 1518509^2 + 86276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313131257 - 2² = 2313313131253 is a prime.

It is a super-2 number, since 2×2313313131257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2313313131253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156656565628 + 1156656565629.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656565629).

Almost surely, 2^{2313313131257} is an apocalyptic number.

It is an amenable number.

2313313131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313131257 is an equidigital number, since it uses as much as digits as its factorization.

2313313131257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34020, while the sum is 35.

Adding to 2313313131257 its reverse (7521313133132), we get a palindrome (9834626264389).

The spelling of 2313313131257 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred fifty-seven".