131626131 has 64 divisors (see below), whose sum is σ = 225942528. Its totient is φ = 66313728.

The previous prime is 131626067. The next prime is 131626151.

131626131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131626131 - 2⁶ = 131626067 is a prime.

It is a super-2 number, since 2×131626131² = 34650876724058322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131626151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838305 + ... + 838461.

It is an arithmetic number, because the mean of its divisors is an integer number (3530352).

Almost surely, 2^131626131 is an apocalyptic number.

131626131 is a deficient number, since it is larger than the sum of its proper divisors (94316397).

131626131 is a wasteful number, since it uses less digits than its factorization.

131626131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its digits is 648, while the sum is 24.

The square root of 131626131 is about 11472.8431959998. The cubic root of 131626131 is about 508.6831734129.

The spelling of 131626131 in words is "one hundred thirty-one million, six hundred twenty-six thousand, one hundred thirty-one".