33000313 has 2 divisors, whose sum is σ = 33000314. Its totient is φ = 33000312.

The previous prime is 33000311. The next prime is 33000323. The reversal of 33000313 is 31300033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28217344 + 4782969 = 5312^2 + 2187^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000313 - 2¹ = 33000311 is a prime.

Together with 33000311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33000293 and 33000302.

It is not a weakly prime, because it can be changed into another prime (33000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500156 + 16500157.

It is an arithmetic number, because the mean of its divisors is an integer number (16500157).

Almost surely, 2^33000313 is an apocalyptic number.

It is an amenable number.

33000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000313 is an equidigital number, since it uses as much as digits as its factorization.

33000313 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 33000313 is about 5744.5898896266. The cubic root of 33000313 is about 320.7544470956.

Adding to 33000313 its reverse (31300033), we get a palindrome (64300346).

The spelling of 33000313 in words is "thirty-three million, three hundred thirteen", and thus it is an aban number.