13268104936681 has 9 divisors (see below), whose sum is σ = 15434355811581. Its totient is φ = 11372639519052.

The previous prime is 13268104936613. The next prime is 13268104936693. The reversal of 13268104936681 is 18663940186231.

The square root of 13268104936681 is 3642541.

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

13268104936681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13268104936681 - 2⁹ = 13268104936169 is a prime.

It is a super-2 number, since 2×13268104936681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13268104936601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25237606 + ... + 25757968.

It is an arithmetic number, because the mean of its divisors is an integer number (1714928423509).

Almost surely, 2^{13268104936681} is an apocalyptic number.

13268104936681 is the 3642541-st square number.

13268104936681 is the 1821271-st centered octagonal number.

It is an amenable number.

13268104936681 is a deficient number, since it is larger than the sum of its proper divisors (2166250874900).

13268104936681 is an frugal number, since it uses more digits than its factorization.

13268104936681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040740 (or 520370 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 13268104936681 in words is "thirteen trillion, two hundred sixty-eight billion, one hundred four million, nine hundred thirty-six thousand, six hundred eighty-one".