13201020220200 has 96 divisors (see below), whose sum is σ = 42334306279200. Its totient is φ = 3398883362560.

The previous prime is 13201020220187. The next prime is 13201020220207. The reversal of 13201020220200 is 202202010231.

It is a happy number.

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 13201020220200.

It is not an unprimeable number, because it can be changed into a prime (13201020220207) 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 23 ways as a sum of consecutive naturals, for example, 379322262 + ... + 379357061.

It is an arithmetic number, because the mean of its divisors is an integer number (440982357075).

Almost surely, 2^{13201020220200} is an apocalyptic number.

13201020220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201020220200 is an abundant number, since it is smaller than the sum of its proper divisors (29133286059000).

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

13201020220200 is a wasteful number, since it uses less digits than its factorization.

13201020220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758679371 (or 758679362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13201020220200 its reverse (202202010231), we get a palindrome (13403222230431).

The spelling of 13201020220200 in words is "thirteen trillion, two hundred one billion, twenty million, two hundred twenty thousand, two hundred".