2004323013 has 72 divisors (see below), whose sum is σ = 3655299648. Its totient is φ = 1035936000.

The previous prime is 2004323003. The next prime is 2004323021. The reversal of 2004323013 is 3103234002.

2004323013 is a `hidden beast` number, since 200 + 432 + 30 + 1 + 3 = 666.

It is not a de Polignac number, because 2004323013 - 2⁴ = 2004322997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004323003) 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 71 ways as a sum of consecutive naturals, for example, 1836598 + ... + 1837688.

Almost surely, 2^2004323013 is an apocalyptic number.

It is an amenable number.

2004323013 is a deficient number, since it is larger than the sum of its proper divisors (1650976635).

2004323013 is a wasteful number, since it uses less digits than its factorization.

2004323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2004323013 is about 44769.6662149719. Note that the first 3 decimals coincide. The cubic root of 2004323013 is about 1260.8281724710.

Adding to 2004323013 its reverse (3103234002), we get a palindrome (5107557015).

The spelling of 2004323013 in words is "two billion, four million, three hundred twenty-three thousand, thirteen".