13303311320 has 128 divisors (see below), whose sum is σ = 35407411200. Its totient is φ = 4451065344.

The previous prime is 13303311313. The next prime is 13303311337. The reversal of 13303311320 is 2311330331.

13303311320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13303311292 and 13303311301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 197969 + ... + 256511.

It is an arithmetic number, because the mean of its divisors is an integer number (276620400).

Almost surely, 2^13303311320 is an apocalyptic number.

13303311320 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 13303311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703705600).

13303311320 is an abundant number, since it is smaller than the sum of its proper divisors (22104099880).

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

13303311320 is a wasteful number, since it uses less digits than its factorization.

13303311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58609 (or 58605 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13303311320 its reverse (2311330331), we get a palindrome (15614641651).

The spelling of 13303311320 in words is "thirteen billion, three hundred three million, three hundred eleven thousand, three hundred twenty".