13120311031313 has 2 divisors, whose sum is σ = 13120311031314. Its totient is φ = 13120311031312.

The previous prime is 13120311031291. The next prime is 13120311031343. The reversal of 13120311031313 is 31313011302131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12521208715024 + 599102316289 = 3538532^2 + 774017^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120311031313 - 2¹⁰ = 13120311030289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13120311031343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560155515656 + 6560155515657.

It is an arithmetic number, because the mean of its divisors is an integer number (6560155515657).

Almost surely, 2^{13120311031313} is an apocalyptic number.

It is an amenable number.

13120311031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120311031313 is an equidigital number, since it uses as much as digits as its factorization.

13120311031313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13120311031313 its reverse (31313011302131), we get a palindrome (44433322333444).

The spelling of 13120311031313 in words is "thirteen trillion, one hundred twenty billion, three hundred eleven million, thirty-one thousand, three hundred thirteen".