213211100213 has 2 divisors, whose sum is σ = 213211100214. Its totient is φ = 213211100212.

The previous prime is 213211100107. The next prime is 213211100243. The reversal of 213211100213 is 312001112312.

213211100213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197457587044 + 15753513169 = 444362^2 + 125513^2 .

It is a cyclic number.

It is not a de Polignac number, because 213211100213 - 2¹⁶ = 213211034677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213211100191 and 213211100200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213211100243) 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, 106605550106 + 106605550107.

It is an arithmetic number, because the mean of its divisors is an integer number (106605550107).

Almost surely, 2^213211100213 is an apocalyptic number.

It is an amenable number.

213211100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213211100213 is an equidigital number, since it uses as much as digits as its factorization.

213211100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213211100213 its reverse (312001112312), we get a palindrome (525212212525).

The spelling of 213211100213 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thousand, two hundred thirteen".