33213000313 has 2 divisors, whose sum is σ = 33213000314. Its totient is φ = 33213000312.

The previous prime is 33213000263. The next prime is 33213000319. The reversal of 33213000313 is 31300031233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32447537424 + 765462889 = 180132^2 + 27667^2 .

It is a cyclic number.

It is not a de Polignac number, because 33213000313 - 2¹⁷ = 33212869241 is a prime.

It is a super-2 number, since 2×33213000313² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33213000319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606500156 + 16606500157.

It is an arithmetic number, because the mean of its divisors is an integer number (16606500157).

Almost surely, 2^33213000313 is an apocalyptic number.

It is an amenable number.

33213000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33213000313 is an equidigital number, since it uses as much as digits as its factorization.

33213000313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 33213000313 its reverse (31300031233), we get a palindrome (64513031546).

The spelling of 33213000313 in words is "thirty-three billion, two hundred thirteen million, three hundred thirteen", and thus it is an aban number.