13334311120 has 80 divisors (see below), whose sum is σ = 33424110720. Its totient is φ = 4917975552.

The previous prime is 13334311073. The next prime is 13334311127. The reversal of 13334311120 is 2111343331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13334311091 and 13334311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334311127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999051 + ... + 1012309.

It is an arithmetic number, because the mean of its divisors is an integer number (417801384).

Almost surely, 2^13334311120 is an apocalyptic number.

13334311120 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 13334311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712055360).

13334311120 is an abundant number, since it is smaller than the sum of its proper divisors (20089799600).

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

13334311120 is a wasteful number, since it uses less digits than its factorization.

13334311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13334311120 its reverse (2111343331), we get a palindrome (15445654451).

The spelling of 13334311120 in words is "thirteen billion, three hundred thirty-four million, three hundred eleven thousand, one hundred twenty".