13350120 has 128 divisors (see below), whose sum is σ = 47831040. Its totient is φ = 2914560.

The previous prime is 13350109. The next prime is 13350137. The reversal of 13350120 is 2105331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13350120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18975 + ... + 19665.

It is an arithmetic number, because the mean of its divisors is an integer number (373680).

Almost surely, 2^13350120 is an apocalyptic number.

13350120 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 13350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23915520).

13350120 is an abundant number, since it is smaller than the sum of its proper divisors (34480920).

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

13350120 is a wasteful number, since it uses less digits than its factorization.

13350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13350120 is about 3653.7816026687. The cubic root of 13350120 is about 237.2256925363.

Adding to 13350120 its reverse (2105331), we get a palindrome (15455451).

The spelling of 13350120 in words is "thirteen million, three hundred fifty thousand, one hundred twenty".