131413131 has 16 divisors (see below), whose sum is σ = 194867200. Its totient is φ = 87527304.

The previous prime is 131413127. The next prime is 131413141. The reversal of 131413131 is 131314131.

It is not a de Polignac number, because 131413131 - 2² = 131413127 is a prime.

It is a super-2 number, since 2×131413131² = 34538821998446322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413141) 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, 46110 + ... + 48876.

It is an arithmetic number, because the mean of its divisors is an integer number (12179200).

Almost surely, 2^131413131 is an apocalyptic number.

131413131 is a deficient number, since it is larger than the sum of its proper divisors (63454069).

131413131 is a wasteful number, since it uses less digits than its factorization.

131413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131413131 is about 11463.5566470446. The cubic root of 131413131 is about 508.4086382271.

Adding to 131413131 its reverse (131314131), we get a palindrome (262727262).

The spelling of 131413131 in words is "one hundred thirty-one million, four hundred thirteen thousand, one hundred thirty-one".