320313132320 has 96 divisors (see below), whose sum is σ = 803815932528. Its totient is φ = 120202887168.

The previous prime is 320313132311. The next prime is 320313132353. The reversal of 320313132320 is 23231313023.

It can be written as a sum of positive squares in 8 ways, for example, as 169312498576 + 151000633744 = 411476^2 + 388588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663242 + ... + 1039478.

Almost surely, 2^320313132320 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 320313132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401907966264).

320313132320 is an abundant number, since it is smaller than the sum of its proper divisors (483502800208).

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

320313132320 is a wasteful number, since it uses less digits than its factorization.

320313132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376582 (or 376574 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 320313132320 its reverse (23231313023), we get a palindrome (343544445343).

The spelling of 320313132320 in words is "three hundred twenty billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".