13033120 has 24 divisors (see below), whose sum is σ = 30791124. Its totient is φ = 5213184.

The previous prime is 13033109. The next prime is 13033187. The reversal of 13033120 is 2133031.

13033120 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 12194064 + 839056 = 3492^2 + 916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13033120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40569 + ... + 40888.

Almost surely, 2^13033120 is an apocalyptic number.

13033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033120 is an abundant number, since it is smaller than the sum of its proper divisors (17758004).

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

13033120 is an equidigital number, since it uses as much as digits as its factorization.

13033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81472 (or 81464 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13033120 is about 3610.1412714740. The cubic root of 13033120 is about 235.3329820117.

Adding to 13033120 its reverse (2133031), we get a palindrome (15166151).

The spelling of 13033120 in words is "thirteen million, thirty-three thousand, one hundred twenty".