1312513251317 has 2 divisors, whose sum is σ = 1312513251318. Its totient is φ = 1312513251316.

The previous prime is 1312513251199. The next prime is 1312513251319. The reversal of 1312513251317 is 7131523152131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 665519850436 + 646993400881 = 815794^2 + 804359^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312513251317 - 2¹⁴ = 1312513234933 is a prime.

Together with 1312513251319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312513251319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656256625658 + 656256625659.

It is an arithmetic number, because the mean of its divisors is an integer number (656256625659).

Almost surely, 2^{1312513251317} is an apocalyptic number.

It is an amenable number.

1312513251317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312513251317 is an equidigital number, since it uses as much as digits as its factorization.

1312513251317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 35.

The spelling of 1312513251317 in words is "one trillion, three hundred twelve billion, five hundred thirteen million, two hundred fifty-one thousand, three hundred seventeen".