213321313 has 2 divisors, whose sum is σ = 213321314. Its totient is φ = 213321312.

The previous prime is 213321307. The next prime is 213321349. The reversal of 213321313 is 313123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141800464 + 71520849 = 11908^2 + 8457^2 .

It is a cyclic number.

It is not a de Polignac number, because 213321313 - 2⁹ = 213320801 is a prime.

It is not a weakly prime, because it can be changed into another prime (213321413) 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 as a sum of consecutive naturals, namely, 106660656 + 106660657.

It is an arithmetic number, because the mean of its divisors is an integer number (106660657).

Almost surely, 2^213321313 is an apocalyptic number.

It is an amenable number.

213321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213321313 is an equidigital number, since it uses as much as digits as its factorization.

213321313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 213321313 is about 14605.5233730257. The cubic root of 213321313 is about 597.5094101679.

Adding to 213321313 its reverse (313123312), we get a palindrome (526444625).

The spelling of 213321313 in words is "two hundred thirteen million, three hundred twenty-one thousand, three hundred thirteen".