320313313 has 2 divisors, whose sum is σ = 320313314. Its totient is φ = 320313312.

The previous prime is 320313307. The next prime is 320313317. The reversal of 320313313 is 313313023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311593104 + 8720209 = 17652^2 + 2953^2 .

It is an emirp because it is prime and its reverse (313313023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320313313 - 2⁵ = 320313281 is a prime.

It is not a weakly prime, because it can be changed into another prime (320313317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160156656 + 160156657.

It is an arithmetic number, because the mean of its divisors is an integer number (160156657).

Almost surely, 2^320313313 is an apocalyptic number.

It is an amenable number.

320313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

320313313 is an equidigital number, since it uses as much as digits as its factorization.

320313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 320313313 is about 17897.2990420342. The cubic root of 320313313 is about 684.2135382269.

Adding to 320313313 its reverse (313313023), we get a palindrome (633626336).

It can be divided in two parts, 32031 and 3313, that added together give a square (35344 = 188²).

The spelling of 320313313 in words is "three hundred twenty million, three hundred thirteen thousand, three hundred thirteen".