13135175517568 has 64 divisors (see below), whose sum is σ = 28328178251520. Its totient is φ = 6030648299520.

The previous prime is 13135175517559. The next prime is 13135175517599. The reversal of 13135175517568 is 86571557153131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20346405 + ... + 20982052.

It is an arithmetic number, because the mean of its divisors is an integer number (442627785180).

Almost surely, 2^{13135175517568} is an apocalyptic number.

It is an amenable number.

13135175517568 is an abundant number, since it is smaller than the sum of its proper divisors (15193002733952).

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

13135175517568 is a wasteful number, since it uses less digits than its factorization.

13135175517568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41328675 (or 41328663 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 58.

The spelling of 13135175517568 in words is "thirteen trillion, one hundred thirty-five billion, one hundred seventy-five million, five hundred seventeen thousand, five hundred sixty-eight".