13320133111120 has 60 divisors (see below), whose sum is σ = 34040645985780. Its totient is φ = 4843684764160.

The previous prime is 13320133110959. The next prime is 13320133111169. The reversal of 13320133111120 is 2111133102331.

13320133111120 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 2 ways, for example, as 7885807516224 + 5434325594896 = 2808168^2 + 2331164^2 .

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 = 13320133111091 and 13320133111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688013725 + ... + 688033084.

It is an arithmetic number, because the mean of its divisors is an integer number (567344099763).

Almost surely, 2^{13320133111120} is an apocalyptic number.

13320133111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320133111120 is an abundant number, since it is smaller than the sum of its proper divisors (20720512874660).

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

13320133111120 is a wasteful number, since it uses less digits than its factorization.

13320133111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376046844 (or 1376046827 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13320133111120 its reverse (2111133102331), we get a palindrome (15431266213451).

The spelling of 13320133111120 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-three million, one hundred eleven thousand, one hundred twenty".