2004222424213 has 2 divisors, whose sum is σ = 2004222424214. Its totient is φ = 2004222424212.

The previous prime is 2004222424207. The next prime is 2004222424229. The reversal of 2004222424213 is 3124242224002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1993636689444 + 10585734769 = 1411962^2 + 102887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004222424213 - 2¹⁷ = 2004222293141 is a prime.

It is a super-3 number, since 3×2004222424213³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004222424313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002111212106 + 1002111212107.

It is an arithmetic number, because the mean of its divisors is an integer number (1002111212107).

Almost surely, 2^{2004222424213} is an apocalyptic number.

It is an amenable number.

2004222424213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004222424213 is an equidigital number, since it uses as much as digits as its factorization.

2004222424213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2004222424213 its reverse (3124242224002), we get a palindrome (5128464648215).

The spelling of 2004222424213 in words is "two trillion, four billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred thirteen".