313301 has 2 divisors, whose sum is σ = 313302. Its totient is φ = 313300.

The previous prime is 313297. The next prime is 313307. The reversal of 313301 is 103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 106276 = 455^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 313301 - 2² = 313297 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650 + 156651.

It is an arithmetic number, because the mean of its divisors is an integer number (156651).

2³¹³³⁰¹ is an apocalyptic number.

It is an amenable number.

313301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301 is an equidigital number, since it uses as much as digits as its factorization.

313301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 313301 is about 559.7329720501. The cubic root of 313301 is about 67.9183709075.

Adding to 313301 its reverse (103313), we get a palindrome (416614).

It can be divided in two parts, 3 and 13301, that multiplied together give a triangular number (39903 = T₂₈₂).

The spelling of 313301 in words is "three hundred thirteen thousand, three hundred one".