2002304331313 has 32 divisors (see below), whose sum is σ = 2394479485440. Its totient is φ = 1650388746240.

The previous prime is 2002304331281. The next prime is 2002304331317. The reversal of 2002304331313 is 3131334032002.

It is not a de Polignac number, because 2002304331313 - 2⁵ = 2002304331281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002304331317) 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, 1721145 + ... + 2639497.

It is an arithmetic number, because the mean of its divisors is an integer number (74827483920).

Almost surely, 2^{2002304331313} is an apocalyptic number.

It is an amenable number.

2002304331313 is a deficient number, since it is larger than the sum of its proper divisors (392175154127).

2002304331313 is a wasteful number, since it uses less digits than its factorization.

2002304331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918649.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2002304331313 its reverse (3131334032002), we get a palindrome (5133638363315).

The spelling of 2002304331313 in words is "two trillion, two billion, three hundred four million, three hundred thirty-one thousand, three hundred thirteen".