2003113033213 has 2 divisors, whose sum is σ = 2003113033214. Its totient is φ = 2003113033212.

The previous prime is 2003113033183. The next prime is 2003113033223. The reversal of 2003113033213 is 3123303113002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1704452969209 + 298660064004 = 1305547^2 + 546498^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003113033213 - 2²¹ = 2003110936061 is a prime.

It is a super-2 number, since 2×2003113033213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003113033223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001556516606 + 1001556516607.

It is an arithmetic number, because the mean of its divisors is an integer number (1001556516607).

Almost surely, 2^{2003113033213} is an apocalyptic number.

It is an amenable number.

2003113033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003113033213 is an equidigital number, since it uses as much as digits as its factorization.

2003113033213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2003113033213 its reverse (3123303113002), we get a palindrome (5126416146215).

The spelling of 2003113033213 in words is "two trillion, three billion, one hundred thirteen million, thirty-three thousand, two hundred thirteen".