13153314024513 has 24 divisors (see below), whose sum is σ = 20501388153792. Its totient is φ = 8078254914528.

The previous prime is 13153314024469. The next prime is 13153314024517. The reversal of 13153314024513 is 31542041335131.

13153314024513 is a `hidden beast` number, since 1 + 3 + 1 + 53 + 31 + 40 + 24 + 513 = 666.

It is not a de Polignac number, because 13153314024513 - 2²¹ = 13153311927361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13153314024517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111692131 + ... + 111809832.

It is an arithmetic number, because the mean of its divisors is an integer number (854224506408).

Almost surely, 2^{13153314024513} is an apocalyptic number.

13153314024513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13153314024513 is a deficient number, since it is larger than the sum of its proper divisors (7348074129279).

13153314024513 is a wasteful number, since it uses less digits than its factorization.

13153314024513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223502485 (or 223502482 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13153314024513 its reverse (31542041335131), we get a palindrome (44695355359644).

The spelling of 13153314024513 in words is "thirteen trillion, one hundred fifty-three billion, three hundred fourteen million, twenty-four thousand, five hundred thirteen".