213133313 has 2 divisors, whose sum is σ = 213133314. Its totient is φ = 213133312.

The previous prime is 213133289. The next prime is 213133337. The reversal of 213133313 is 313331312.

It is a balanced prime because it is at equal distance from previous prime (213133289) and next prime (213133337).

It can be written as a sum of positive squares in only one way, i.e., 203689984 + 9443329 = 14272^2 + 3073^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133313 - 2⁸ = 213133057 is a prime.

It is a super-2 number, since 2×213133313² = 90851618220711938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213133343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566656 + 106566657.

It is an arithmetic number, because the mean of its divisors is an integer number (106566657).

Almost surely, 2^213133313 is an apocalyptic number.

It is an amenable number.

213133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133313 is an equidigital number, since it uses as much as digits as its factorization.

213133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 213133313 is about 14599.0860330365. The cubic root of 213133313 is about 597.3338302989. Note that the first 3 decimals are identical.

Adding to 213133313 its reverse (313331312), we get a palindrome (526464625).

The spelling of 213133313 in words is "two hundred thirteen million, one hundred thirty-three thousand, three hundred thirteen".