10013003 has 24 divisors (see below), whose sum is σ = 13693680. Its totient is φ = 7197120.

The previous prime is 10012999. The next prime is 10013009. The reversal of 10013003 is 30031001.

It is not a de Polignac number, because 10013003 - 2² = 10012999 is a prime.

10013003 is a modest number, since divided by 3003 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6293 + ... + 7721.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 2^10013003 is an apocalyptic number.

10013003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10013003 is a deficient number, since it is larger than the sum of its proper divisors (3680677).

10013003 is a wasteful number, since it uses less digits than its factorization.

10013003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10013003 is about 3164.3329470838. The cubic root of 10013003 is about 215.5368089391.

Adding to 10013003 its reverse (30031001), we get a palindrome (40044004).

It can be divided in two parts, 1001 and 3003, that multiplied together give a palindrome (3006003).

The spelling of 10013003 in words is "ten million, thirteen thousand, three".