213320133 has 24 divisors (see below), whose sum is σ = 340806648. Its totient is φ = 127723392.

The previous prime is 213320113. The next prime is 213320179. The reversal of 213320133 is 331023312.

213320133 is a `hidden beast` number, since 213 + 320 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58018689 + 155301444 = 7617^2 + 12462^2 .

It is not a de Polignac number, because 213320133 - 2¹⁴ = 213303749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213320113) 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 in 23 ways as a sum of consecutive naturals, for example, 20310 + ... + 28967.

It is an arithmetic number, because the mean of its divisors is an integer number (14200277).

Almost surely, 2^213320133 is an apocalyptic number.

It is an amenable number.

213320133 is a deficient number, since it is larger than the sum of its proper divisors (127486515).

213320133 is a wasteful number, since it uses less digits than its factorization.

213320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333 (or 49330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213320133 is about 14605.4829772932. The cubic root of 213320133 is about 597.5083084458.

Adding to 213320133 its reverse (331023312), we get a palindrome (544343445).

The spelling of 213320133 in words is "two hundred thirteen million, three hundred twenty thousand, one hundred thirty-three".