213301022213 has 2 divisors, whose sum is σ = 213301022214. Its totient is φ = 213301022212.

The previous prime is 213301022189. The next prime is 213301022243. The reversal of 213301022213 is 312220103312.

213301022213 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., 160077609409 + 53223412804 = 400097^2 + 230702^2 .

It is a cyclic number.

It is not a de Polignac number, because 213301022213 - 2⁶ = 213301022149 is a prime.

It is a super-2 number, since 2×213301022213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213301022243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106650511106 + 106650511107.

It is an arithmetic number, because the mean of its divisors is an integer number (106650511107).

Almost surely, 2^213301022213 is an apocalyptic number.

It is an amenable number.

213301022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213301022213 is an equidigital number, since it uses as much as digits as its factorization.

213301022213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213301022213 its reverse (312220103312), we get a palindrome (525521125525).

The spelling of 213301022213 in words is "two hundred thirteen billion, three hundred one million, twenty-two thousand, two hundred thirteen".