13281600 has 84 divisors (see below), whose sum is σ = 43590464. Its totient is φ = 3540480.

The previous prime is 13281571. The next prime is 13281613. The reversal of 13281600 is 618231.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3417 + ... + 6183.

Almost surely, 2^13281600 is an apocalyptic number.

13281600 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 13281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795232).

13281600 is an abundant number, since it is smaller than the sum of its proper divisors (30308864).

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

13281600 is a wasteful number, since it uses less digits than its factorization.

13281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13281600 is about 3644.3929535658. The cubic root of 13281600 is about 236.8191395535.

Adding to 13281600 its reverse (618231), we get a palindrome (13899831).

The spelling of 13281600 in words is "thirteen million, two hundred eighty-one thousand, six hundred".