131132131013 has 8 divisors (see below), whose sum is σ = 145035954168. Its totient is φ = 117773555904.

The previous prime is 131132131007. The next prime is 131132131063. The reversal of 131132131013 is 310131231131.

It can be written as a sum of positive squares in 4 ways, for example, as 22421468644 + 108710662369 = 149738^2 + 329713^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131132131013 - 2¹⁴ = 131132114629 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 (131132131063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136311506 + ... + 136312467.

It is an arithmetic number, because the mean of its divisors is an integer number (18129494271).

Almost surely, 2^131132131013 is an apocalyptic number.

131132131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131132131013 is a deficient number, since it is larger than the sum of its proper divisors (13903823155).

131132131013 is a wasteful number, since it uses less digits than its factorization.

131132131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272624023.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131132131013 its reverse (310131231131), we get a palindrome (441263362144).

The spelling of 131132131013 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-one thousand, thirteen".