13479615313601 has 2 divisors, whose sum is σ = 13479615313602. Its totient is φ = 13479615313600.

The previous prime is 13479615313579. The next prime is 13479615313613. The reversal of 13479615313601 is 10631351697431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11705457912976 + 1774157400625 = 3421324^2 + 1331975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13479615313601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13479615313601.

It is not a weakly prime, because it can be changed into another prime (13479615313631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6739807656800 + 6739807656801.

It is an arithmetic number, because the mean of its divisors is an integer number (6739807656801).

Almost surely, 2^{13479615313601} is an apocalyptic number.

It is an amenable number.

13479615313601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13479615313601 is an equidigital number, since it uses as much as digits as its factorization.

13479615313601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 13479615313601 in words is "thirteen trillion, four hundred seventy-nine billion, six hundred fifteen million, three hundred thirteen thousand, six hundred one".