13042120 has 64 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 4126464.

The previous prime is 13042109. The next prime is 13042129. The reversal of 13042120 is 2124031.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 13042120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849 + ... + 5431.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 2^13042120 is an apocalyptic number.

13042120 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 13042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

13042120 is an abundant number, since it is smaller than the sum of its proper divisors (23084600).

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

13042120 is a wasteful number, since it uses less digits than its factorization.

13042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13042120 is about 3611.3875449749. The cubic root of 13042120 is about 235.3871391513.

Adding to 13042120 its reverse (2124031), we get a palindrome (15166151).

It can be divided in two parts, 130 and 42120, that multiplied together give a square (5475600 = 2340²).

The spelling of 13042120 in words is "thirteen million, forty-two thousand, one hundred twenty".