213133 has 2 divisors, whose sum is σ = 213134. Its totient is φ = 213132.

The previous prime is 213131. The next prime is 213139. The reversal of 213133 is 331312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 51529 = 402^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133 - 2¹ = 213131 is a prime.

Together with 213131, it forms a pair of twin primes.

213133 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566 + 106567.

It is an arithmetic number, because the mean of its divisors is an integer number (106567).

2²¹³¹³³ is an apocalyptic number.

It is an amenable number.

213133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133 is an equidigital number, since it uses as much as digits as its factorization.

213133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 213133 is about 461.6632972200. The cubic root of 213133 is about 59.7333537891.

Adding to 213133 its reverse (331312), we get a palindrome (544445).

It can be divided in two parts, 21313 and 3, that added together give a square (21316 = 146²).

The spelling of 213133 in words is "two hundred thirteen thousand, one hundred thirty-three".