13057276026961 has 2 divisors, whose sum is σ = 13057276026962. Its totient is φ = 13057276026960.

The previous prime is 13057276026901. The next prime is 13057276026967. The reversal of 13057276026961 is 16962067275031.

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., 12776020814736 + 281255212225 = 3574356^2 + 530335^2 .

It is an emirp because it is prime and its reverse (16962067275031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13057276026961 - 2⁹ = 13057276026449 is a prime.

It is not a weakly prime, because it can be changed into another prime (13057276026967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528638013480 + 6528638013481.

It is an arithmetic number, because the mean of its divisors is an integer number (6528638013481).

Almost surely, 2^{13057276026961} is an apocalyptic number.

It is an amenable number.

13057276026961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057276026961 is an equidigital number, since it uses as much as digits as its factorization.

13057276026961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 13057276026961 in words is "thirteen trillion, fifty-seven billion, two hundred seventy-six million, twenty-six thousand, nine hundred sixty-one".