213200033 has 2 divisors, whose sum is σ = 213200034. Its totient is φ = 213200032.

The previous prime is 213200027. The next prime is 213200089. The reversal of 213200033 is 330002312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111028369 + 102171664 = 10537^2 + 10108^2 .

It is a cyclic number.

It is not a de Polignac number, because 213200033 - 2¹⁰ = 213199009 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213199990 and 213200017.

It is not a weakly prime, because it can be changed into another prime (213200093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600016 + 106600017.

It is an arithmetic number, because the mean of its divisors is an integer number (106600017).

Almost surely, 2^213200033 is an apocalyptic number.

It is an amenable number.

213200033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213200033 is an equidigital number, since it uses as much as digits as its factorization.

213200033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213200033 is about 14601.3709287861. The cubic root of 213200033 is about 597.3961542885.

Adding to 213200033 its reverse (330002312), we get a palindrome (543202345).

The spelling of 213200033 in words is "two hundred thirteen million, two hundred thousand, thirty-three".