13005003 has 16 divisors (see below), whose sum is σ = 18976896. Its totient is φ = 7856640.

The previous prime is 13004993. The next prime is 13005007. The reversal of 13005003 is 30050031.

It is a happy number.

13005003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005003 - 2⁶ = 13004939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005003.

It is not an unprimeable number, because it can be changed into a prime (13005007) 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, 18700 + ... + 19382.

It is an arithmetic number, because the mean of its divisors is an integer number (1186056).

Almost surely, 2^13005003 is an apocalyptic number.

13005003 is a deficient number, since it is larger than the sum of its proper divisors (5971893).

13005003 is a wasteful number, since it uses less digits than its factorization.

13005003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13005003 is about 3606.2449999965. The cubic root of 13005003 is about 235.1636283072.

Adding to 13005003 its reverse (30050031), we get a palindrome (43055034).

The spelling of 13005003 in words is "thirteen million, five thousand, three".