131131131 has 8 divisors (see below), whose sum is σ = 176176704. Its totient is φ = 86753160.

The previous prime is 131131129. The next prime is 131131177.

131131131 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 131131131 - 2¹ = 131131129 is a prime.

It is a super-2 number, since 2×131131131² = 34390747034678322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

131131131 is a modest number, since divided by 131131 gives 131 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 131131131.

It is not an unprimeable number, because it can be changed into a prime (131131031) 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, 166441 + ... + 167226.

It is an arithmetic number, because the mean of its divisors is an integer number (22022088).

Almost surely, 2^131131131 is an apocalyptic number.

131131131 is a deficient number, since it is larger than the sum of its proper divisors (45045573).

131131131 is a wasteful number, since it uses less digits than its factorization.

131131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333801.

The product of its digits is 27, while the sum is 15.

The square root of 131131131 is about 11451.2501937561. The cubic root of 131131131 is about 508.0447123622.

The spelling of 131131131 in words is "one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".