131312013020320 has 192 divisors, whose sum is σ = 339531485771520. Its totient is φ = 47594085580800.

The previous prime is 131312013020261. The next prime is 131312013020341. The reversal of 131312013020320 is 23020310213131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131312013020291 and 131312013020300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484193685 + ... + 1484282155.

It is an arithmetic number, because the mean of its divisors is an integer number (1768393155060).

Almost surely, 2^{131312013020320} is an apocalyptic number.

131312013020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312013020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169765742885760).

131312013020320 is an abundant number, since it is smaller than the sum of its proper divisors (208219472751200).

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

131312013020320 is a wasteful number, since it uses less digits than its factorization.

131312013020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91239 (or 91231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131312013020320 its reverse (23020310213131), we get a palindrome (154332323233451).

The spelling of 131312013020320 in words is "one hundred thirty-one trillion, three hundred twelve billion, thirteen million, twenty thousand, three hundred twenty".