2004302331013 has 8 divisors (see below), whose sum is σ = 2025009974232. Its totient is φ = 1983595600896.

The previous prime is 2004302330983. The next prime is 2004302331037. The reversal of 2004302331013 is 3101332034002.

It can be written as a sum of positive squares in 4 ways, for example, as 305015407524 + 1699286923489 = 552282^2 + 1303567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004302331013 - 2¹³ = 2004302322821 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 (2004302371013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4740081 + ... + 5145577.

It is an arithmetic number, because the mean of its divisors is an integer number (253126246779).

Almost surely, 2^{2004302331013} is an apocalyptic number.

It is an amenable number.

2004302331013 is a deficient number, since it is larger than the sum of its proper divisors (20707643219).

2004302331013 is an equidigital number, since it uses as much as digits as its factorization.

2004302331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456551.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2004302331013 its reverse (3101332034002), we get a palindrome (5105634365015).

The spelling of 2004302331013 in words is "two trillion, four billion, three hundred two million, three hundred thirty-one thousand, thirteen".