131753112588013 has 16 divisors (see below), whose sum is σ = 155770647857280. Its totient is φ = 109034663887296.

The previous prime is 131753112587983. The next prime is 131753112588091. The reversal of 131753112588013 is 310885211357131.

It is a happy number.

It is not a de Polignac number, because 131753112588013 - 2²⁹ = 131752575717101 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 (131753112288013) 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, 2167870 + ... + 16376992.

It is an arithmetic number, because the mean of its divisors is an integer number (9735665491080).

Almost surely, 2^{131753112588013} is an apocalyptic number.

It is an amenable number.

131753112588013 is a deficient number, since it is larger than the sum of its proper divisors (24017535269267).

131753112588013 is a wasteful number, since it uses less digits than its factorization.

131753112588013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254836.

The product of its (nonzero) digits is 604800, while the sum is 49.

The spelling of 131753112588013 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, one hundred twelve million, five hundred eighty-eight thousand, thirteen".