33213000320 has 32 divisors (see below), whose sum is σ = 79399830420. Its totient is φ = 13285199872.

The previous prime is 33213000319. The next prime is 33213000343. The reversal of 33213000320 is 2300031233.

It can be written as a sum of positive squares in 2 ways, for example, as 33074514496 + 138485824 = 181864^2 + 11768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×33213000320³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 25947017 + ... + 25948296.

Almost surely, 2^33213000320 is an apocalyptic number.

It is an amenable number.

33213000320 is an abundant number, since it is smaller than the sum of its proper divisors (46186830100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33213000320 is an equidigital number, since it uses as much as digits as its factorization.

33213000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51895332 (or 51895320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 33213000320 its reverse (2300031233), we get a palindrome (35513031553).

The spelling of 33213000320 in words is "thirty-three billion, two hundred thirteen million, three hundred twenty", and thus it is an aban number.