13518474117121 has 2 divisors, whose sum is σ = 13518474117122. Its totient is φ = 13518474117120.

The previous prime is 13518474117089. The next prime is 13518474117139. The reversal of 13518474117121 is 12171147481531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11576461856400 + 1942012260721 = 3402420^2 + 1393561^2 .

It is a cyclic number.

It is not a de Polignac number, because 13518474117121 - 2⁵ = 13518474117089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13518474117151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6759237058560 + 6759237058561.

It is an arithmetic number, because the mean of its divisors is an integer number (6759237058561).

Almost surely, 2^{13518474117121} is an apocalyptic number.

It is an amenable number.

13518474117121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13518474117121 is an equidigital number, since it uses as much as digits as its factorization.

13518474117121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188160, while the sum is 46.

The spelling of 13518474117121 in words is "thirteen trillion, five hundred eighteen billion, four hundred seventy-four million, one hundred seventeen thousand, one hundred twenty-one".