13335120 has 60 divisors (see below), whose sum is σ = 44786196. Its totient is φ = 3555840.

The previous prime is 13335107. The next prime is 13335139. The reversal of 13335120 is 2153331.

13335120 is digitally balanced in base 2 and base 4, because in such bases 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 10265616 + 3069504 = 3204^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13335093 and 13335102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8541 + ... + 9980.

Almost surely, 2^13335120 is an apocalyptic number.

13335120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13335120 is an abundant number, since it is smaller than the sum of its proper divisors (31451076).

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

13335120 is a wasteful number, since it uses less digits than its factorization.

13335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18540 (or 18531 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13335120 is about 3651.7283579149. The cubic root of 13335120 is about 237.1368114641.

Adding to 13335120 its reverse (2153331), we get a palindrome (15488451).

It can be divided in two parts, 133 and 35120, that added together give a palindrome (35253).

The spelling of 13335120 in words is "thirteen million, three hundred thirty-five thousand, one hundred twenty".