13201102200 has 384 divisors, whose sum is σ = 49001863680. Its totient is φ = 2897356800.

The previous prime is 13201102193. The next prime is 13201102261. The reversal of 13201102200 is 220110231.

13201102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4545949 + ... + 4548851.

It is an arithmetic number, because the mean of its divisors is an integer number (127609020).

Almost surely, 2^13201102200 is an apocalyptic number.

13201102200 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 13201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500931840).

13201102200 is an abundant number, since it is smaller than the sum of its proper divisors (35800761480).

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

13201102200 is a wasteful number, since it uses less digits than its factorization.

13201102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13201102200 its reverse (220110231), we get a palindrome (13421212431).

The spelling of 13201102200 in words is "thirteen billion, two hundred one million, one hundred two thousand, two hundred".