131413314131 has 4 divisors (see below), whose sum is σ = 143359979064. Its totient is φ = 119466649200.

The previous prime is 131413314083. The next prime is 131413314169.

131413314131 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 131413314131 - 2²⁶ = 131346205267 is a prime.

It is a super-2 number, since 2×131413314131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131413314131.

It is not an unprimeable number, because it can be changed into a prime (131413314181) 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 3 ways as a sum of consecutive naturals, for example, 5973332450 + ... + 5973332471.

It is an arithmetic number, because the mean of its divisors is an integer number (35839994766).

Almost surely, 2^131413314131 is an apocalyptic number.

131413314131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131413314131 is a deficient number, since it is larger than the sum of its proper divisors (11946664933).

131413314131 is a wasteful number, since it uses less digits than its factorization.

131413314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946664932.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 131413 and 314131, that added together give a palindrome (445544).

The spelling of 131413314131 in words is "one hundred thirty-one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred thirty-one".