3004213313 has 2 divisors, whose sum is σ = 3004213314. Its totient is φ = 3004213312.

The previous prime is 3004213307. The next prime is 3004213337. The reversal of 3004213313 is 3133124003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2995044529 + 9168784 = 54727^2 + 3028^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004213313 - 2⁶ = 3004213249 is a prime.

It is not a weakly prime, because it can be changed into another prime (3004213013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502106656 + 1502106657.

It is an arithmetic number, because the mean of its divisors is an integer number (1502106657).

Almost surely, 2^3004213313 is an apocalyptic number.

It is an amenable number.

3004213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004213313 is an equidigital number, since it uses as much as digits as its factorization.

3004213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3004213313 is about 54810.7043651147. The cubic root of 3004213313 is about 1442.9244376766.

Adding to 3004213313 its reverse (3133124003), we get a palindrome (6137337316).

The spelling of 3004213313 in words is "three billion, four million, two hundred thirteen thousand, three hundred thirteen".