13208761597013 has 2 divisors, whose sum is σ = 13208761597014. Its totient is φ = 13208761597012.

The previous prime is 13208761596949. The next prime is 13208761597019. The reversal of 13208761597013 is 31079516780231.

It is a happy number.

13208761597013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9487342503409 + 3721419093604 = 3080153^2 + 1929098^2 .

It is a cyclic number.

It is not a de Polignac number, because 13208761597013 - 2⁶ = 13208761596949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13208761597019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6604380798506 + 6604380798507.

It is an arithmetic number, because the mean of its divisors is an integer number (6604380798507).

Almost surely, 2^{13208761597013} is an apocalyptic number.

It is an amenable number.

13208761597013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13208761597013 is an equidigital number, since it uses as much as digits as its factorization.

13208761597013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 13208761597013 in words is "thirteen trillion, two hundred eight billion, seven hundred sixty-one million, five hundred ninety-seven thousand, thirteen".