13331132320 has 48 divisors (see below), whose sum is σ = 34357968288. Its totient is φ = 4847683840.

The previous prime is 13331132303. The next prime is 13331132359. The reversal of 13331132320 is 2323113331.

13331132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13331132291 and 13331132300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3785494 + ... + 3789013.

It is an arithmetic number, because the mean of its divisors is an integer number (715791006).

Almost surely, 2^13331132320 is an apocalyptic number.

13331132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331132320 is an abundant number, since it is smaller than the sum of its proper divisors (21026835968).

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

13331132320 is a wasteful number, since it uses less digits than its factorization.

13331132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574533 (or 7574525 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13331132320 its reverse (2323113331), we get a palindrome (15654245651).

The spelling of 13331132320 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".