2003110013 has 2 divisors, whose sum is σ = 2003110014. Its totient is φ = 2003110012.

The previous prime is 2003109991. The next prime is 2003110099. The reversal of 2003110013 is 3100113002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1077611929 + 925498084 = 32827^2 + 30422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003110013 - 2¹² = 2003105917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003109976 and 2003110003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003110313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001555006 + 1001555007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001555007).

Almost surely, 2^2003110013 is an apocalyptic number.

It is an amenable number.

2003110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003110013 is an equidigital number, since it uses as much as digits as its factorization.

2003110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2003110013 is about 44756.1170456062. The cubic root of 2003110013 is about 1260.5737734892.

Adding to 2003110013 its reverse (3100113002), we get a palindrome (5103223015).

The spelling of 2003110013 in words is "two billion, three million, one hundred ten thousand, thirteen".