213240212033 has 2 divisors, whose sum is σ = 213240212034. Its totient is φ = 213240212032.

The previous prime is 213240211993. The next prime is 213240212039. The reversal of 213240212033 is 330212042312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188292641329 + 24947570704 = 433927^2 + 157948^2 .

It is a cyclic number.

It is not a de Polignac number, because 213240212033 - 2¹⁸ = 213239949889 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213240212039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106620106016 + 106620106017.

It is an arithmetic number, because the mean of its divisors is an integer number (106620106017).

Almost surely, 2^213240212033 is an apocalyptic number.

It is an amenable number.

213240212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213240212033 is an equidigital number, since it uses as much as digits as its factorization.

213240212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213240212033 its reverse (330212042312), we get a palindrome (543452254345).

The spelling of 213240212033 in words is "two hundred thirteen billion, two hundred forty million, two hundred twelve thousand, thirty-three".