13004004 has 48 divisors (see below), whose sum is σ = 33743360. Its totient is φ = 3870720.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004004 is 40040031.

13004004 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 is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492 + ... + 6180.

Almost surely, 2^13004004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871680).

13004004 is an abundant number, since it is smaller than the sum of its proper divisors (20739356).

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

13004004 is a wasteful number, since it uses less digits than its factorization.

13004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13004004 is about 3606.1064876124. The cubic root of 13004004 is about 235.1576066635.

Adding to 13004004 its reverse (40040031), we get a palindrome (53044035).

The spelling of 13004004 in words is "thirteen million, four thousand, four".