13331920 has 120 divisors (see below), whose sum is σ = 38167200. Its totient is φ = 4306176.

The previous prime is 13331911. The next prime is 13331921. The reversal of 13331920 is 2913331.

It is a junction number, because it is equal to n+sod(n) for n = 13331891 and 13331900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74391 + ... + 74569.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^13331920 is an apocalyptic number.

13331920 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 13331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600).

13331920 is an abundant number, since it is smaller than the sum of its proper divisors (24835280).

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

13331920 is a wasteful number, since it uses less digits than its factorization.

13331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13331920 is about 3651.2901829353. The cubic root of 13331920 is about 237.1178415435.

The spelling of 13331920 in words is "thirteen million, three hundred thirty-one thousand, nine hundred twenty".