13331120 has 40 divisors (see below), whose sum is σ = 33814800. Its totient is φ = 4847360.

The previous prime is 13331119. The next prime is 13331167. The reversal of 13331120 is 2113331.

13331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13331095 and 13331104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6695 + ... + 8454.

It is an arithmetic number, because the mean of its divisors is an integer number (845370).

Almost surely, 2^13331120 is an apocalyptic number.

13331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331120 is an abundant number, since it is smaller than the sum of its proper divisors (20483680).

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

13331120 is a wasteful number, since it uses less digits than its factorization.

13331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15173 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13331120 is about 3651.1806309740. The cubic root of 13331120 is about 237.1130985891.

Adding to 13331120 its reverse (2113331), we get a palindrome (15444451).

It can be divided in two parts, 133311 and 20, that added together give a palindrome (133331).

The spelling of 13331120 in words is "thirteen million, three hundred thirty-one thousand, one hundred twenty".