131323323131 has 96 divisors (see below), whose sum is σ = 189301432320. Its totient is φ = 89304768000.

The previous prime is 131323323091. The next prime is 131323323163.

131323323131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-131323323131 is a prime.

It is a super-3 number, since 3×131323323131³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131323323131.

It is not an unprimeable number, because it can be changed into a prime (131323323331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114094406 + ... + 114095556.

It is an arithmetic number, because the mean of its divisors is an integer number (1971889920).

Almost surely, 2^131323323131 is an apocalyptic number.

131323323131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131323323131 is a deficient number, since it is larger than the sum of its proper divisors (57978109189).

131323323131 is a wasteful number, since it uses less digits than its factorization.

131323323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 131323 and 323131, that added together give a palindrome (454454).

The spelling of 131323323131 in words is "one hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty-one".