3312013000200 has 192 divisors, whose sum is σ = 10331908715520. Its totient is φ = 877650432000.

The previous prime is 3312013000187. The next prime is 3312013000213. The reversal of 3312013000200 is 20003102133.

It is an interprime number because it is at equal distance from previous prime (3312013000187) and next prime (3312013000213).

It is a super-2 number, since 2×3312013000200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3312013000200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111949410 + ... + 111978990.

It is an arithmetic number, because the mean of its divisors is an integer number (53812024560).

Almost surely, 2^{3312013000200} is an apocalyptic number.

3312013000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312013000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165954357760).

3312013000200 is an abundant number, since it is smaller than the sum of its proper divisors (7019895715320).

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

3312013000200 is a wasteful number, since it uses less digits than its factorization.

3312013000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30768 (or 30759 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3312013000200 its reverse (20003102133), we get a palindrome (3332016102333).

The spelling of 3312013000200 in words is "three trillion, three hundred twelve billion, thirteen million, two hundred", and thus it is an aban number.