13334331120 has 160 divisors (see below), whose sum is σ = 45324956160. Its totient is φ = 3216030720.

The previous prime is 13334331113. The next prime is 13334331133. The reversal of 13334331120 is 2113343331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507261 + ... + 532899.

It is an arithmetic number, because the mean of its divisors is an integer number (283280976).

Almost surely, 2^13334331120 is an apocalyptic number.

13334331120 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 13334331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662478080).

13334331120 is an abundant number, since it is smaller than the sum of its proper divisors (31990625040).

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

13334331120 is a wasteful number, since it uses less digits than its factorization.

13334331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25863 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13334331120 its reverse (2113343331), we get a palindrome (15447674451).

It can be divided in two parts, 133343311 and 20, that added together give a palindrome (133343331).

The spelling of 13334331120 in words is "thirteen billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty".