320221313 has 2 divisors, whose sum is σ = 320221314. Its totient is φ = 320221312.

The previous prime is 320221303. The next prime is 320221327. The reversal of 320221313 is 313122023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168143089 + 152078224 = 12967^2 + 12332^2 .

It is a cyclic number.

It is not a de Polignac number, because 320221313 - 2¹⁰ = 320220289 is a prime.

It is a super-3 number, since 3×320221313³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 320221291 and 320221300.

It is not a weakly prime, because it can be changed into another prime (320221303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160110656 + 160110657.

It is an arithmetic number, because the mean of its divisors is an integer number (160110657).

Almost surely, 2^320221313 is an apocalyptic number.

It is an amenable number.

320221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

320221313 is an equidigital number, since it uses as much as digits as its factorization.

320221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 320221313 is about 17894.7286372272. The cubic root of 320221313 is about 684.1480256277.

Adding to 320221313 its reverse (313122023), we get a palindrome (633343336).

The spelling of 320221313 in words is "three hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".