2003102013 has 16 divisors (see below), whose sum is σ = 2915942400. Its totient is φ = 1213026480.

The previous prime is 2003102011. The next prime is 2003102033. The reversal of 2003102013 is 3102013002.

It is a happy number.

It is not a de Polignac number, because 2003102013 - 2¹ = 2003102011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2003102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18478 + ... + 65936.

It is an arithmetic number, because the mean of its divisors is an integer number (182246400).

Almost surely, 2^2003102013 is an apocalyptic number.

It is an amenable number.

2003102013 is a deficient number, since it is larger than the sum of its proper divisors (912840387).

2003102013 is a wasteful number, since it uses less digits than its factorization.

2003102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48752.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2003102013 is about 44756.0276722589. The cubic root of 2003102013 is about 1260.5720953315.

Adding to 2003102013 its reverse (3102013002), we get a palindrome (5105115015).

The spelling of 2003102013 in words is "two billion, three million, one hundred two thousand, thirteen".