13377345886013 has 2 divisors, whose sum is σ = 13377345886014. Its totient is φ = 13377345886012.

The previous prime is 13377345885851. The next prime is 13377345886129. The reversal of 13377345886013 is 31068854377331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7304462966329 + 6072882919684 = 2702677^2 + 2464322^2 .

It is an emirp because it is prime and its reverse (31068854377331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13377345886013 - 2³⁶ = 13308626409277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13377345886313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6688672943006 + 6688672943007.

It is an arithmetic number, because the mean of its divisors is an integer number (6688672943007).

Almost surely, 2^{13377345886013} is an apocalyptic number.

It is an amenable number.

13377345886013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13377345886013 is an equidigital number, since it uses as much as digits as its factorization.

13377345886013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 13377345886013 in words is "thirteen trillion, three hundred seventy-seven billion, three hundred forty-five million, eight hundred eighty-six thousand, thirteen".