2004221013 has 8 divisors (see below), whose sum is σ = 2734441248. Its totient is φ = 1305074064.

The previous prime is 2004220937. The next prime is 2004221029. The reversal of 2004221013 is 3101224002.

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

It is not a de Polignac number, because 2004221013 - 2¹² = 2004216917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2004220983 and 2004221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004221113) 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, 7768170 + ... + 7768427.

It is an arithmetic number, because the mean of its divisors is an integer number (341805156).

Almost surely, 2^2004221013 is an apocalyptic number.

It is an amenable number.

2004221013 is a deficient number, since it is larger than the sum of its proper divisors (730220235).

2004221013 is a wasteful number, since it uses less digits than its factorization.

2004221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536643.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2004221013 is about 44768.5270363008. The cubic root of 2004221013 is about 1260.8067842592.

Adding to 2004221013 its reverse (3101224002), we get a palindrome (5105445015).

The spelling of 2004221013 in words is "two billion, four million, two hundred twenty-one thousand, thirteen".