2003123330013 has 32 divisors (see below), whose sum is σ = 2912926065280. Its totient is φ = 1217065616640.

The previous prime is 2003123329981. The next prime is 2003123330107. The reversal of 2003123330013 is 3100333213002.

It is not a de Polignac number, because 2003123330013 - 2⁵ = 2003123329981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003123330213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370503 + ... + 2035563.

It is an arithmetic number, because the mean of its divisors is an integer number (91028939540).

Almost surely, 2^{2003123330013} is an apocalyptic number.

It is an amenable number.

2003123330013 is a deficient number, since it is larger than the sum of its proper divisors (909802735267).

2003123330013 is a wasteful number, since it uses less digits than its factorization.

2003123330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665469.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2003123330013 its reverse (3100333213002), we get a palindrome (5103456543015).

The spelling of 2003123330013 in words is "two trillion, three billion, one hundred twenty-three million, three hundred thirty thousand, thirteen".