13004124 has 48 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 3686976.

The previous prime is 13004087. The next prime is 13004129. The reversal of 13004124 is 42140031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004129) 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 15 ways as a sum of consecutive naturals, for example, 11997 + ... + 13035.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 2^13004124 is an apocalyptic number.

13004124 is a gapful number since it is divisible by the number (14) 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 13004124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

13004124 is an abundant number, since it is smaller than the sum of its proper divisors (21939876).

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

13004124 is a wasteful number, since it uses less digits than its factorization.

13004124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13004124 is about 3606.1231260177. The cubic root of 13004124 is about 235.1583300004.

Adding to 13004124 its reverse (42140031), we get a palindrome (55144155).

The spelling of 13004124 in words is "thirteen million, four thousand, one hundred twenty-four".