213312133 has 2 divisors, whose sum is σ = 213312134. Its totient is φ = 213312132.

The previous prime is 213312119. The next prime is 213312149. The reversal of 213312133 is 331213312.

213312133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206870689 + 6441444 = 14383^2 + 2538^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312133 - 2¹⁷ = 213181061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213312133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656066 + 106656067.

It is an arithmetic number, because the mean of its divisors is an integer number (106656067).

Almost surely, 2^213312133 is an apocalyptic number.

It is an amenable number.

213312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312133 is an equidigital number, since it uses as much as digits as its factorization.

213312133 is an evil number, because the sum of its binary digits is even.

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

The square root of 213312133 is about 14605.2091049735. The cubic root of 213312133 is about 597.5008390364.

Adding to 213312133 its reverse (331213312), we get a palindrome (544525445).

The spelling of 213312133 in words is "two hundred thirteen million, three hundred twelve thousand, one hundred thirty-three".