131312213131 has 16 divisors (see below), whose sum is σ = 147711029760. Its totient is φ = 115711229920.

The previous prime is 131312213113. The next prime is 131312213141.

131312213131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131312213131 - 2¹¹ = 131312211083 is a prime.

It is a super-2 number, since 2×131312213131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131312213141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308451 + ... + 1405228.

It is an arithmetic number, because the mean of its divisors is an integer number (9231939360).

Almost surely, 2^131312213131 is an apocalyptic number.

131312213131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131312213131 is a deficient number, since it is larger than the sum of its proper divisors (16398816629).

131312213131 is a wasteful number, since it uses less digits than its factorization.

131312213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713826.

The product of its digits is 324, while the sum is 22.

Multiplying 131312213131 by its sum of digits (22), we get a palindrome (2888868688882).

It can be divided in two parts, 131312 and 213131, that added together give a palindrome (344443).

The spelling of 131312213131 in words is "one hundred thirty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred thirty-one".