13383120 has 40 divisors (see below), whose sum is σ = 41488416. Its totient is φ = 3568768.

The previous prime is 13383101. The next prime is 13383127. The reversal of 13383120 is 2138331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27642 + ... + 28121.

Almost surely, 2^13383120 is an apocalyptic number.

13383120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13383120 is an abundant number, since it is smaller than the sum of its proper divisors (28105296).

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

13383120 is a wasteful number, since it uses less digits than its factorization.

13383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55779 (or 55773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13383120 is about 3658.2946846857. The cubic root of 13383120 is about 237.4209968069.

The spelling of 13383120 in words is "thirteen million, three hundred eighty-three thousand, one hundred twenty".