131585131 has 2 divisors, whose sum is σ = 131585132. Its totient is φ = 131585130.

The previous prime is 131585099. The next prime is 131585137.

131585131 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 131585131 - 2⁵ = 131585099 is a prime.

It is a super-2 number, since 2×131585131² = 34629293400574322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131585131.

It is not a weakly prime, because it can be changed into another prime (131585137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65792565 + 65792566.

It is an arithmetic number, because the mean of its divisors is an integer number (65792566).

Almost surely, 2^131585131 is an apocalyptic number.

131585131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131585131 is an equidigital number, since it uses as much as digits as its factorization.

131585131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1800, while the sum is 28.

The square root of 131585131 is about 11471.0562286130. The cubic root of 131585131 is about 508.6303516421.

The spelling of 131585131 in words is "one hundred thirty-one million, five hundred eighty-five thousand, one hundred thirty-one".