13333120 has 64 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 5248000.

The previous prime is 13333097. The next prime is 13333121. The reversal of 13333120 is 2133331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13333094 and 13333103.

It is not an unprimeable number, because it can be changed into a prime (13333121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52995 + ... + 53245.

Almost surely, 2^13333120 is an apocalyptic number.

13333120 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 13333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

13333120 is an abundant number, since it is smaller than the sum of its proper divisors (19053920).

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

13333120 is an equidigital number, since it uses as much as digits as its factorization.

13333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 13333120 is about 3651.4545047145. The cubic root of 13333120 is about 237.1249556194.

Adding to 13333120 its reverse (2133331), we get a palindrome (15466451).

The spelling of 13333120 in words is "thirteen million, three hundred thirty-three thousand, one hundred twenty".