2313313131361 has 2 divisors, whose sum is σ = 2313313131362. Its totient is φ = 2313313131360.

The previous prime is 2313313131329. The next prime is 2313313131419. The reversal of 2313313131361 is 1631313133132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1452952998225 + 860360133136 = 1205385^2 + 927556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313131361 - 2⁵ = 2313313131329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313313135361) 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, 1156656565680 + 1156656565681.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656565681).

Almost surely, 2^{2313313131361} is an apocalyptic number.

It is an amenable number.

2313313131361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313131361 is an equidigital number, since it uses as much as digits as its factorization.

2313313131361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 31.

Adding to 2313313131361 its reverse (1631313133132), we get a palindrome (3944626264493).

The spelling of 2313313131361 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred sixty-one".