13135910544 has 45 divisors (see below), whose sum is σ = 36766154659. Its totient is φ = 4378178400.

The previous prime is 13135910527. The next prime is 13135910561. The reversal of 13135910544 is 44501953131.

The square root of 13135910544 is 114612.

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

13135910544 is a `hidden beast` number, since 1 + 3 + 13 + 591 + 0 + 54 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13135910527) and next prime (13135910561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13135910499 and 13135910508.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1370569 + ... + 1380119.

Almost surely, 2^13135910544 is an apocalyptic number.

13135910544 is the 114612-nd square number.

It is an amenable number.

13135910544 is an abundant number, since it is smaller than the sum of its proper divisors (23630244115).

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

13135910544 is an frugal number, since it uses more digits than its factorization.

13135910544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 13135910544 by its sum of digits (36), we get a square (472892779584 = 687672²).

13135910544 divided by its sum of digits (36) gives a square (364886404 = 19102²).

Multiplying 13135910544 by its product of nonzero digits (32400), we get a square (425603501625600 = 20630160²).

The spelling of 13135910544 in words is "thirteen billion, one hundred thirty-five million, nine hundred ten thousand, five hundred forty-four".