213133307 has 4 divisors (see below), whose sum is σ = 213202080. Its totient is φ = 213064536.

The previous prime is 213133289. The next prime is 213133313. The reversal of 213133307 is 703331312.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 213133307 - 2¹⁸ = 212871163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213133337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29507 + ... + 36012.

It is an arithmetic number, because the mean of its divisors is an integer number (53300520).

Almost surely, 2^213133307 is an apocalyptic number.

213133307 is a deficient number, since it is larger than the sum of its proper divisors (68773).

213133307 is an equidigital number, since it uses as much as digits as its factorization.

213133307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68772.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 213133307 is about 14599.0858275441. The cubic root of 213133307 is about 597.3338246936. Note that the first 3 decimals are identical.

Adding to 213133307 its reverse (703331312), we get a palindrome (916464619).

The spelling of 213133307 in words is "two hundred thirteen million, one hundred thirty-three thousand, three hundred seven".