131414131320331 has 12 divisors (see below), whose sum is σ = 139685320520280. Its totient is φ = 123607492624640.

The previous prime is 131414131320323. The next prime is 131414131320349. The reversal of 131414131320331 is 133023131414131.

It is not a de Polignac number, because 131414131320331 - 2³ = 131414131320323 is a prime.

It is a super-2 number, since 2×131414131320331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131414131320293 and 131414131320302.

It is not an unprimeable number, because it can be changed into a prime (131414131320931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139964530 + ... + 140900311.

It is an arithmetic number, because the mean of its divisors is an integer number (11640443376690).

Almost surely, 2^{131414131320331} is an apocalyptic number.

131414131320331 is a deficient number, since it is larger than the sum of its proper divisors (8271189199949).

131414131320331 is a wasteful number, since it uses less digits than its factorization.

131414131320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280866494 (or 280866477 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 131414131320331 its reverse (133023131414131), we get a palindrome (264437262734462).

The spelling of 131414131320331 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred thirty-one million, three hundred twenty thousand, three hundred thirty-one".