13105325534013 has 12 divisors (see below), whose sum is σ = 18935949101628. Its totient is φ = 8734098562560.

The previous prime is 13105325533997. The next prime is 13105325534083. The reversal of 13105325534013 is 31043552350131.

13105325534013 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 53 + 2 + 553 + 40 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12695446446489 + 409879087524 = 3563067^2 + 640218^2 .

It is not a de Polignac number, because 13105325534013 - 2⁴ = 13105325533997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105325534083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232064098 + ... + 232120563.

It is an arithmetic number, because the mean of its divisors is an integer number (1577995758469).

Almost surely, 2^{13105325534013} is an apocalyptic number.

It is an amenable number.

13105325534013 is a deficient number, since it is larger than the sum of its proper divisors (5830623567615).

13105325534013 is a wasteful number, since it uses less digits than its factorization.

13105325534013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464187804 (or 464187801 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13105325534013 its reverse (31043552350131), we get a palindrome (44148877884144).

The spelling of 13105325534013 in words is "thirteen trillion, one hundred five billion, three hundred twenty-five million, five hundred thirty-four thousand, thirteen".