13002213100200 has 192 divisors, whose sum is σ = 40367291328000. Its totient is φ = 3462062534400.

The previous prime is 13002213100199. The next prime is 13002213100207. The reversal of 13002213100200 is 200131220031.

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 13002213100200.

It is not an unprimeable number, because it can be changed into a prime (13002213100207) by changing a digit.

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, 1374000669 + ... + 1374010131.

It is an arithmetic number, because the mean of its divisors is an integer number (210246309000).

Almost surely, 2^{13002213100200} is an apocalyptic number.

13002213100200 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 13002213100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183645664000).

13002213100200 is an abundant number, since it is smaller than the sum of its proper divisors (27365078227800).

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

13002213100200 is a wasteful number, since it uses less digits than its factorization.

13002213100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13002213100200 its reverse (200131220031), we get a palindrome (13202344320231).

The spelling of 13002213100200 in words is "thirteen trillion, two billion, two hundred thirteen million, one hundred thousand, two hundred".