131131131131 has 64 divisors (see below), whose sum is σ = 179182789632. Its totient is φ = 92664000000.

The previous prime is 131131131119. The next prime is 131131131169.

It is a happy number.

131131131131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131131131131 - 2³⁴ = 113951261947 is a prime.

It is a super-2 number, since 2×131131131131² (a number of 23 digits) contains 22 as substring.

131131131131 is a modest number, since divided by 131131131 gives 131 as remainder.

It is not an unprimeable number, because it can be changed into a prime (131131131181) 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 in 63 ways as a sum of consecutive naturals, for example, 13239281 + ... + 13249181.

It is an arithmetic number, because the mean of its divisors is an integer number (2799731088).

Almost surely, 2^131131131131 is an apocalyptic number.

131131131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131131131131 is a deficient number, since it is larger than the sum of its proper divisors (48051658501).

131131131131 is a wasteful number, since it uses less digits than its factorization.

131131131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164.

The product of its digits is 81, while the sum is 20.

It can be divided in two parts, 131131 and 131131, that added together give a palindrome (262262).

The spelling of 131131131131 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".