13103907684624 has 405 divisors, whose sum is σ = 39094379309349. Its totient is φ = 4097183834880.

The previous prime is 13103907684589. The next prime is 13103907684631. The reversal of 13103907684624 is 42648670930131.

The square root of 13103907684624 is 3619932.

It is a perfect power (a square), and thus also a powerful number.

13103907684624 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 9 + 0 + 7 + 6 + 8 + 4 + 624 = 666.

13103907684624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11725556547600 + 1378351137024 = 3424260^2 + 1174032^2 .

It is a super-3 number, since 3×13103907684624³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49824743917 + ... + 49824744179.

Almost surely, 2^{13103907684624} is an apocalyptic number.

13103907684624 is the 3619932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103907684624

13103907684624 is an abundant number, since it is smaller than the sum of its proper divisors (25990471624725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103907684624 is an equidigital number, since it uses as much as digits as its factorization.

13103907684624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13103907684624 in words is "thirteen trillion, one hundred three billion, nine hundred seven million, six hundred eighty-four thousand, six hundred twenty-four".