13311103000200 has 192 divisors, whose sum is σ = 41445409080000. Its totient is φ = 3534091223040.

The previous prime is 13311103000193. The next prime is 13311103000201. The reversal of 13311103000200 is 200030111331.

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 13311103000200.

It is not an unprimeable number, because it can be changed into a prime (13311103000201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131159076 + ... + 131260524.

It is an arithmetic number, because the mean of its divisors is an integer number (215861505625).

Almost surely, 2^{13311103000200} is an apocalyptic number.

13311103000200 is a gapful number since it is divisible by the number (10) 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 13311103000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722704540000).

13311103000200 is an abundant number, since it is smaller than the sum of its proper divisors (28134306079800).

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

13311103000200 is a wasteful number, since it uses less digits than its factorization.

13311103000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102424 (or 102415 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13311103000200 its reverse (200030111331), we get a palindrome (13511133111531).

The spelling of 13311103000200 in words is "thirteen trillion, three hundred eleven billion, one hundred three million, two hundred", and thus it is an aban number.