303013 has 2 divisors, whose sum is σ = 303014. Its totient is φ = 303012.

The previous prime is 303011. The next prime is 303019. The reversal of 303013 is 310303.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228484 + 74529 = 478^2 + 273^2 .

It is a cyclic number.

It is not a de Polignac number, because 303013 - 2¹ = 303011 is a prime.

Together with 303011, it forms a pair of twin primes.

303013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (303011) 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, 151506 + 151507.

It is an arithmetic number, because the mean of its divisors is an integer number (151507).

2³⁰³⁰¹³ is an apocalyptic number.

It is an amenable number.

303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

303013 is an equidigital number, since it uses as much as digits as its factorization.

303013 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 10.

The square root of 303013 is about 550.4661660811. The cubic root of 303013 is about 67.1666601673.

Adding to 303013 its reverse (310303), we get a palindrome (613316).

The spelling of 303013 in words is "three hundred three thousand, thirteen".