221330313 has 10 divisors (see below), whose sum is σ = 330629354. Its totient is φ = 147553488.

The previous prime is 221330309. The next prime is 221330339. The reversal of 221330313 is 313033122.

221330313 is a `hidden beast` number, since 2 + 21 + 330 + 313 = 666.

221330313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 221325129 + 5184 = 14877^2 + 72^2 .

It is not a de Polignac number, because 221330313 - 2² = 221330309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221330353) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1366156 + ... + 1366317.

Almost surely, 2^221330313 is an apocalyptic number.

It is an amenable number.

221330313 is a deficient number, since it is larger than the sum of its proper divisors (109299041).

221330313 is an equidigital number, since it uses as much as digits as its factorization.

221330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732485 (or 2732476 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 221330313 is about 14877.1742276549. The cubic root of 221330313 is about 604.8954244038.

Adding to 221330313 its reverse (313033122), we get a palindrome (534363435).

The spelling of 221330313 in words is "two hundred twenty-one million, three hundred thirty thousand, three hundred thirteen".