3003213313 has 2 divisors, whose sum is σ = 3003213314. Its totient is φ = 3003213312.

The previous prime is 3003213281. The next prime is 3003213329. The reversal of 3003213313 is 3133123003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1987643889 + 1015569424 = 44583^2 + 31868^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003213313 - 2⁵ = 3003213281 is a prime.

It is not a weakly prime, because it can be changed into another prime (3003210313) 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, 1501606656 + 1501606657.

It is an arithmetic number, because the mean of its divisors is an integer number (1501606657).

Almost surely, 2^3003213313 is an apocalyptic number.

It is an amenable number.

3003213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003213313 is an equidigital number, since it uses as much as digits as its factorization.

3003213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 3003213313 is about 54801.5813001778. The cubic root of 3003213313 is about 1442.7643198225.

Adding to 3003213313 its reverse (3133123003), we get a palindrome (6136336316).

The spelling of 3003213313 in words is "three billion, three million, two hundred thirteen thousand, three hundred thirteen".