303313 has 2 divisors, whose sum is σ = 303314. Its totient is φ = 303312.

The previous prime is 303307. The next prime is 303323. The reversal of 303313 is 313303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 8464 = 543^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 303313 - 2⁹ = 302801 is a prime.

303313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 303293 and 303302.

It is not a weakly prime, because it can be changed into another prime (303323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151656 + 151657.

It is an arithmetic number, because the mean of its divisors is an integer number (151657).

2³⁰³³¹³ is an apocalyptic number.

It is an amenable number.

303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

303313 is an equidigital number, since it uses as much as digits as its factorization.

303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 303313 is about 550.7385949795. The cubic root of 303313 is about 67.1888191196.

Adding to 303313 its reverse (313303), we get a palindrome (616616).

It can be divided in two parts, 303 and 313, that added together give a palindrome (616).

The spelling of 303313 in words is "three hundred three thousand, three hundred thirteen".