2003000013 has 24 divisors (see below), whose sum is σ = 3315943488. Its totient is φ = 1141316352.

The previous prime is 2002999981. The next prime is 2003000029. The reversal of 2003000013 is 3100003002.

It is a happy number.

It is not a de Polignac number, because 2003000013 - 2⁵ = 2002999981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002999959 and 2003000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003000033) 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 23 ways as a sum of consecutive naturals, for example, 22795 + ... + 67272.

It is an arithmetic number, because the mean of its divisors is an integer number (138164312).

Almost surely, 2^2003000013 is an apocalyptic number.

It is an amenable number.

2003000013 is a deficient number, since it is larger than the sum of its proper divisors (1312943475).

2003000013 is a wasteful number, since it uses less digits than its factorization.

2003000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90433 (or 90430 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2003000013 is about 44754.8881464360. Note that the first 3 decimals coincide. The cubic root of 2003000013 is about 1260.5506984289.

Adding to 2003000013 its reverse (3100003002), we get a palindrome (5103003015).

The spelling of 2003000013 in words is "two billion, three million, thirteen", and thus it is an aban number and an uban number.