13311900320 has 48 divisors (see below), whose sum is σ = 33299333928. Its totient is φ = 5011537920.

The previous prime is 13311900319. The next prime is 13311900323. The reversal of 13311900320 is 2300911331.

13311900320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13305161104 + 6739216 = 115348^2 + 2596^2 .

It is a super-2 number, since 2×13311900320² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311900323) by changing a digit.

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, 2444321 + ... + 2449760.

Almost surely, 2^13311900320 is an apocalyptic number.

13311900320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311900320 is an abundant number, since it is smaller than the sum of its proper divisors (19987433608).

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

13311900320 is a wasteful number, since it uses less digits than its factorization.

13311900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894113 (or 4894105 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 13311900320 in words is "thirteen billion, three hundred eleven million, nine hundred thousand, three hundred twenty".