13131882000757 has 16 divisors (see below), whose sum is σ = 14193634800240. Its totient is φ = 12077557696512.

The previous prime is 13131882000749. The next prime is 13131882000779. The reversal of 13131882000757 is 75700028813131.

13131882000757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 785871612036 + 12346010388721 = 886494^2 + 3513689^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131882000757 - 2³ = 13131882000749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131882090757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4475683 + ... + 6804079.

It is an arithmetic number, because the mean of its divisors is an integer number (887102175015).

Almost surely, 2^{13131882000757} is an apocalyptic number.

It is an amenable number.

13131882000757 is a deficient number, since it is larger than the sum of its proper divisors (1061752799483).

13131882000757 is a wasteful number, since it uses less digits than its factorization.

13131882000757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329992.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 13131882000757 in words is "thirteen trillion, one hundred thirty-one billion, eight hundred eighty-two million, seven hundred fifty-seven", and thus it is an aban number.