2000331330013 has 4 divisors (see below), whose sum is σ = 2025651979840. Its totient is φ = 1975010680188.

The previous prime is 2000331329987. The next prime is 2000331330017. The reversal of 2000331330013 is 3100331330002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2000331330013 - 2¹⁷ = 2000331198941 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 (2000331330017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12660324795 + ... + 12660324952.

It is an arithmetic number, because the mean of its divisors is an integer number (506412994960).

Almost surely, 2^{2000331330013} is an apocalyptic number.

It is an amenable number.

2000331330013 is a deficient number, since it is larger than the sum of its proper divisors (25320649827).

2000331330013 is an equidigital number, since it uses as much as digits as its factorization.

2000331330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25320649826.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 2000331330013 its reverse (3100331330002), we get a palindrome (5100662660015).

The spelling of 2000331330013 in words is "two trillion, three hundred thirty-one million, three hundred thirty thousand, thirteen".