213133213 has 2 divisors, whose sum is σ = 213133214. Its totient is φ = 213133212.

The previous prime is 213133177. The next prime is 213133223. The reversal of 213133213 is 312331312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189833284 + 23299929 = 13778^2 + 4827^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133213 - 2⁹ = 213132701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213133223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566606 + 106566607.

It is an arithmetic number, because the mean of its divisors is an integer number (106566607).

Almost surely, 2^213133213 is an apocalyptic number.

It is an amenable number.

213133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133213 is an equidigital number, since it uses as much as digits as its factorization.

213133213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 213133213 is about 14599.0826081641. The cubic root of 213133213 is about 597.3337368779. Note that the first 3 decimals are identical.

Adding to 213133213 its reverse (312331312), we get a palindrome (525464525).

It can be divided in two parts, 2131 and 33213, that added together give a square (35344 = 188²).

The spelling of 213133213 in words is "two hundred thirteen million, one hundred thirty-three thousand, two hundred thirteen".