131413113331020 has 72 divisors (see below), whose sum is σ = 403098651053280. Its totient is φ = 34649749728000.

The previous prime is 131413113331013. The next prime is 131413113331021. The reversal of 131413113331020 is 20133311314131.

131413113331020 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 311 + 33 + 310 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (131413113331021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101516856 + ... + 4101548895.

It is an arithmetic number, because the mean of its divisors is an integer number (5598592375740).

Almost surely, 2^{131413113331020} is an apocalyptic number.

131413113331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413113331020 is an abundant number, since it is smaller than the sum of its proper divisors (271685537722260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131413113331020 is a wasteful number, since it uses less digits than its factorization.

131413113331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203065855 (or 8203065850 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131413113331020 its reverse (20133311314131), we get a palindrome (151546424645151).

The spelling of 131413113331020 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirteen million, three hundred thirty-one thousand, twenty".