13283650800 has 180 divisors, whose sum is σ = 52683480720. Its totient is φ = 3036257280.

The previous prime is 13283650789. The next prime is 13283650817. The reversal of 13283650800 is 805638231.

13283650800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 238365 + ... + 288764.

It is an arithmetic number, because the mean of its divisors is an integer number (292686004).

Almost surely, 2^13283650800 is an apocalyptic number.

13283650800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13283650800 is an abundant number, since it is smaller than the sum of its proper divisors (39399829920).

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

13283650800 is a wasteful number, since it uses less digits than its factorization.

13283650800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527160 (or 527146 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13283650800 in words is "thirteen billion, two hundred eighty-three million, six hundred fifty thousand, eight hundred".