221322313 has 2 divisors, whose sum is σ = 221322314. Its totient is φ = 221322312.

The previous prime is 221322301. The next prime is 221322319. The reversal of 221322313 is 313223122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208167184 + 13155129 = 14428^2 + 3627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221322313 is a prime.

It is not a weakly prime, because it can be changed into another prime (221322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110661156 + 110661157.

It is an arithmetic number, because the mean of its divisors is an integer number (110661157).

Almost surely, 2^221322313 is an apocalyptic number.

It is an amenable number.

221322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221322313 is an equidigital number, since it uses as much as digits as its factorization.

221322313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 19.

The square root of 221322313 is about 14876.9053569618. The cubic root of 221322313 is about 604.8881363199. Note that the first 3 decimals are identical.

Adding to 221322313 its reverse (313223122), we get a palindrome (534545435).

The spelling of 221322313 in words is "two hundred twenty-one million, three hundred twenty-two thousand, three hundred thirteen".