2004113334431 has 16 divisors (see below), whose sum is σ = 2160040979040. Its totient is φ = 1848438368640.

The previous prime is 2004113334397. The next prime is 2004113334437. The reversal of 2004113334431 is 1344333114002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2004113334431 - 2³⁸ = 1729235427487 is a prime.

It is a super-2 number, since 2×2004113334431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004113334394 and 2004113334403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004113334437) 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 15 ways as a sum of consecutive naturals, for example, 152154476 + ... + 152167646.

It is an arithmetic number, because the mean of its divisors is an integer number (135002561190).

Almost surely, 2^{2004113334431} is an apocalyptic number.

2004113334431 is a deficient number, since it is larger than the sum of its proper divisors (155927644609).

2004113334431 is a wasteful number, since it uses less digits than its factorization.

2004113334431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 2004113334431 its reverse (1344333114002), we get a palindrome (3348446448433).

The spelling of 2004113334431 in words is "two trillion, four billion, one hundred thirteen million, three hundred thirty-four thousand, four hundred thirty-one".