2004000310313 has 8 divisors (see below), whose sum is σ = 2058276450120. Its totient is φ = 1949730168960.

The previous prime is 2004000310271. The next prime is 2004000310363. The reversal of 2004000310313 is 3130130004002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34895360809 + 1969104949504 = 186803^2 + 1403248^2 .

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 2004000310313 - 2⁸ = 2004000310057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004000310291 and 2004000310300.

It is not an unprimeable number, because it can be changed into a prime (2004000310363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818258 + ... + 2162763.

It is an arithmetic number, because the mean of its divisors is an integer number (257284556265).

Almost surely, 2^{2004000310313} is an apocalyptic number.

It is an amenable number.

2004000310313 is a deficient number, since it is larger than the sum of its proper divisors (54276139807).

2004000310313 is a wasteful number, since it uses less digits than its factorization.

2004000310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999227.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2004000310313 its reverse (3130130004002), we get a palindrome (5134130314315).

The spelling of 2004000310313 in words is "two trillion, four billion, three hundred ten thousand, three hundred thirteen".