131413040220320 has 96 divisors (see below), whose sum is σ = 310663010810880. Its totient is φ = 52531409582080.

The previous prime is 131413040220281. The next prime is 131413040220493. The reversal of 131413040220320 is 23022040314131.

It is a self number, because there is not a number n which added to its sum of digits gives 131413040220320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5634954260 + ... + 5634977580.

It is an arithmetic number, because the mean of its divisors is an integer number (3236073029280).

Almost surely, 2^{131413040220320} is an apocalyptic number.

131413040220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413040220320 is an abundant number, since it is smaller than the sum of its proper divisors (179249970590560).

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

131413040220320 is a wasteful number, since it uses less digits than its factorization.

131413040220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44478 (or 44470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131413040220320 its reverse (23022040314131), we get a palindrome (154435080534451).

The spelling of 131413040220320 in words is "one hundred thirty-one trillion, four hundred thirteen billion, forty million, two hundred twenty thousand, three hundred twenty".