13003004 has 48 divisors (see below), whose sum is σ = 27664896. Its totient is φ = 5227200.

The previous prime is 13002971. The next prime is 13003007. The reversal of 13003004 is 40030031.

It is a super-2 number, since 2×13003004² = 338156226048032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003007) 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, 39119 + ... + 39449.

It is an arithmetic number, because the mean of its divisors is an integer number (576352).

Almost surely, 2^13003004 is an apocalyptic number.

13003004 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 13003004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832448).

13003004 is an abundant number, since it is smaller than the sum of its proper divisors (14661892).

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

13003004 is a wasteful number, since it uses less digits than its factorization.

13003004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13003004 is about 3605.9678312486. The cubic root of 13003004 is about 235.1515786834.

Adding to 13003004 its reverse (40030031), we get a palindrome (53033035).

The spelling of 13003004 in words is "thirteen million, three thousand, four".