221344313 has 2 divisors, whose sum is σ = 221344314. Its totient is φ = 221344312.

The previous prime is 221344307. The next prime is 221344367. The reversal of 221344313 is 313443122.

221344313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130942249 + 90402064 = 11443^2 + 9508^2 .

It is a cyclic number.

It is not a de Polignac number, because 221344313 - 2⁴ = 221344297 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221344303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110672156 + 110672157.

It is an arithmetic number, because the mean of its divisors is an integer number (110672157).

Almost surely, 2^221344313 is an apocalyptic number.

It is an amenable number.

221344313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221344313 is an equidigital number, since it uses as much as digits as its factorization.

221344313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 23.

The square root of 221344313 is about 14877.6447396757. The cubic root of 221344313 is about 604.9081781281.

Adding to 221344313 its reverse (313443122), we get a palindrome (534787435).

The spelling of 221344313 in words is "two hundred twenty-one million, three hundred forty-four thousand, three hundred thirteen".