2004004401313 has 8 divisors (see below), whose sum is σ = 2032575914880. Its totient is φ = 1975442501760.

The previous prime is 2004004401307. The next prime is 2004004401407. The reversal of 2004004401313 is 3131044004002.

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 2004004401313 - 2⁵ = 2004004401281 is a prime.

It is a super-2 number, since 2×2004004401313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004004401713) 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, 1983120 + ... + 2817937.

It is an arithmetic number, because the mean of its divisors is an integer number (254071989360).

Almost surely, 2^{2004004401313} is an apocalyptic number.

It is an amenable number.

2004004401313 is a deficient number, since it is larger than the sum of its proper divisors (28571513567).

2004004401313 is an equidigital number, since it uses as much as digits as its factorization.

2004004401313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807007.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2004004401313 its reverse (3131044004002), we get a palindrome (5135048405315).

The spelling of 2004004401313 in words is "two trillion, four billion, four million, four hundred one thousand, three hundred thirteen".