3013322020200 has 288 divisors, whose sum is σ = 10654675200000. Its totient is φ = 761094696960.

The previous prime is 3013322020157. The next prime is 3013322020213. The reversal of 3013322020200 is 20202233103.

It is a happy number.

3013322020200 is a `hidden beast` number, since 301 + 3 + 322 + 0 + 20 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261590041 + ... + 261601559.

It is an arithmetic number, because the mean of its divisors is an integer number (36995400000).

Almost surely, 2^{3013322020200} is an apocalyptic number.

3013322020200 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 3013322020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327337600000).

3013322020200 is an abundant number, since it is smaller than the sum of its proper divisors (7641353179800).

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

3013322020200 is a wasteful number, since it uses less digits than its factorization.

3013322020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19197 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3013322020200 its reverse (20202233103), we get a palindrome (3033524253303).

The spelling of 3013322020200 in words is "three trillion, thirteen billion, three hundred twenty-two million, twenty thousand, two hundred".