320131131320 has 256 divisors, whose sum is σ = 1009160570880. Its totient is φ = 88100812800.

The previous prime is 320131131319. The next prime is 320131131377. The reversal of 320131131320 is 23131131023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320131131292 and 320131131301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 747110 + ... + 1094730.

It is an arithmetic number, because the mean of its divisors is an integer number (3942033480).

Almost surely, 2^320131131320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320131131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504580285440).

320131131320 is an abundant number, since it is smaller than the sum of its proper divisors (689029439560).

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

320131131320 is a wasteful number, since it uses less digits than its factorization.

320131131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347686 (or 347682 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 320131131320 its reverse (23131131023), we get a palindrome (343262262343).

The spelling of 320131131320 in words is "three hundred twenty billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty".