13217281600 has 168 divisors, whose sum is σ = 34423868160. Its totient is φ = 4980971520.

The previous prime is 13217281589. The next prime is 13217281639. The reversal of 13217281600 is 618271231.

13217281600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 5987697 + ... + 5989903.

Almost surely, 2^13217281600 is an apocalyptic number.

13217281600 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 13217281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211934080).

13217281600 is an abundant number, since it is smaller than the sum of its proper divisors (21206586560).

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

13217281600 is a wasteful number, since it uses less digits than its factorization.

13217281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 13217281600 in words is "thirteen billion, two hundred seventeen million, two hundred eighty-one thousand, six hundred".