13201802208 has 288 divisors, whose sum is σ = 44578550016. Its totient is φ = 3627638784.

The previous prime is 13201802189. The next prime is 13201802209. The reversal of 13201802208 is 80220810231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201802209) 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, 5806960 + ... + 5809232.

It is an arithmetic number, because the mean of its divisors is an integer number (154786632).

Almost surely, 2^13201802208 is an apocalyptic number.

13201802208 is a gapful number since it is divisible by the number (18) 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 13201802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289275008).

13201802208 is an abundant number, since it is smaller than the sum of its proper divisors (31376747808).

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

13201802208 is a wasteful number, since it uses less digits than its factorization.

13201802208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

It can be divided in two parts, 13201 and 802208, that added together give a square (815409 = 903²).

The spelling of 13201802208 in words is "thirteen billion, two hundred one million, eight hundred two thousand, two hundred eight".