131130310320 has 400 divisors, whose sum is σ = 500259767040. Its totient is φ = 31686640128.

The previous prime is 131130310319. The next prime is 131130310349. The reversal of 131130310320 is 23013031131.

It is a happy number.

131130310320 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 30 + 310 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131130310293 and 131130310302.

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 79 ways as a sum of consecutive naturals, for example, 2808607 + ... + 2854913.

Almost surely, 2^131130310320 is an apocalyptic number.

131130310320 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 131130310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250129883520).

131130310320 is an abundant number, since it is smaller than the sum of its proper divisors (369129456720).

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

131130310320 is a wasteful number, since it uses less digits than its factorization.

131130310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46374 (or 46359 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131130310320 its reverse (23013031131), we get a palindrome (154143341451).

The spelling of 131130310320 in words is "one hundred thirty-one billion, one hundred thirty million, three hundred ten thousand, three hundred twenty".