3000223310213 has 2 divisors, whose sum is σ = 3000223310214. Its totient is φ = 3000223310212.

The previous prime is 3000223310191. The next prime is 3000223310237. The reversal of 3000223310213 is 3120133220003.

3000223310213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2632548435169 + 367674875044 = 1622513^2 + 606362^2 .

It is an emirp because it is prime and its reverse (3120133220003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3000223310213 - 2¹⁰ = 3000223309189 is a prime.

It is a super-2 number, since 2×3000223310213² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000223310263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500111655106 + 1500111655107.

It is an arithmetic number, because the mean of its divisors is an integer number (1500111655107).

Almost surely, 2^{3000223310213} is an apocalyptic number.

It is an amenable number.

3000223310213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000223310213 is an equidigital number, since it uses as much as digits as its factorization.

3000223310213 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.

Adding to 3000223310213 its reverse (3120133220003), we get a palindrome (6120356530216).

The spelling of 3000223310213 in words is "three trillion, two hundred twenty-three million, three hundred ten thousand, two hundred thirteen".