2003213030013 has 48 divisors (see below), whose sum is σ = 3301146104256. Its totient is φ = 1159621378560.

The previous prime is 2003213029981. The next prime is 2003213030029. The reversal of 2003213030013 is 3100303123002.

2003213030013 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 30 + 300 + 13 = 666.

It is not a de Polignac number, because 2003213030013 - 2⁵ = 2003213029981 is a prime.

It is a super-2 number, since 2×2003213030013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003213030083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3528958 + ... + 4057088.

It is an arithmetic number, because the mean of its divisors is an integer number (68773877172).

Almost surely, 2^{2003213030013} is an apocalyptic number.

It is an amenable number.

2003213030013 is a deficient number, since it is larger than the sum of its proper divisors (1297933074243).

2003213030013 is a wasteful number, since it uses less digits than its factorization.

2003213030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530074 (or 530071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2003213030013 its reverse (3100303123002), we get a palindrome (5103516153015).

The spelling of 2003213030013 in words is "two trillion, three billion, two hundred thirteen million, thirty thousand, thirteen".