213211033312033 has 2 divisors, whose sum is σ = 213211033312034. Its totient is φ = 213211033312032.

The previous prime is 213211033312001. The next prime is 213211033312051. The reversal of 213211033312033 is 330213330112312.

It is a happy number.

213211033312033 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., 184196252459664 + 29014780852369 = 13571892^2 + 5386537^2 .

It is a cyclic number.

It is not a de Polignac number, because 213211033312033 - 2⁵ = 213211033312001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213211033311992 and 213211033312010.

It is not a weakly prime, because it can be changed into another prime (213211033382033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106605516656016 + 106605516656017.

It is an arithmetic number, because the mean of its divisors is an integer number (106605516656017).

Almost surely, 2^{213211033312033} is an apocalyptic number.

It is an amenable number.

213211033312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213211033312033 is an equidigital number, since it uses as much as digits as its factorization.

213211033312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 213211033312033 its reverse (330213330112312), we get a palindrome (543424363424345).

The spelling of 213211033312033 in words is "two hundred thirteen trillion, two hundred eleven billion, thirty-three million, three hundred twelve thousand, thirty-three".