13201200510200 has 192 divisors, whose sum is σ = 31665584880000. Its totient is φ = 5115673866240.

The previous prime is 13201200510193. The next prime is 13201200510203. The reversal of 13201200510200 is 201500210231.

It is a happy number.

13201200510200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201200510203) 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, 372382076 + ... + 372417524.

It is an arithmetic number, because the mean of its divisors is an integer number (164924921250).

Almost surely, 2^{13201200510200} is an apocalyptic number.

13201200510200 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 13201200510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832792440000).

13201200510200 is an abundant number, since it is smaller than the sum of its proper divisors (18464384369800).

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

13201200510200 is a wasteful number, since it uses less digits than its factorization.

13201200510200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35914 (or 35905 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 13201200510200 its reverse (201500210231), we get a palindrome (13402700720431).

The spelling of 13201200510200 in words is "thirteen trillion, two hundred one billion, two hundred million, five hundred ten thousand, two hundred".