131808013 has 2 divisors, whose sum is σ = 131808014. Its totient is φ = 131808012.

The previous prime is 131807993. The next prime is 131808031. The reversal of 131808013 is 310808131.

Together with next prime (131808031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131171209 + 636804 = 11453^2 + 798^2 .

It is a cyclic number.

It is not a de Polignac number, because 131808013 - 2⁵ = 131807981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131808043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65904006 + 65904007.

It is an arithmetic number, because the mean of its divisors is an integer number (65904007).

Almost surely, 2^131808013 is an apocalyptic number.

It is an amenable number.

131808013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131808013 is an equidigital number, since it uses as much as digits as its factorization.

131808013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 131808013 is about 11480.7670910963. The cubic root of 131808013 is about 508.9173663497.

The spelling of 131808013 in words is "one hundred thirty-one million, eight hundred eight thousand, thirteen".