13283307360 has 288 divisors, whose sum is σ = 47906782560. Its totient is φ = 3342311424.

The previous prime is 13283307343. The next prime is 13283307413. The reversal of 13283307360 is 6370338231.

It is a happy number.

13283307360 is a `hidden beast` number, since 13 + 283 + 3 + 0 + 7 + 360 = 666.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8015652 + ... + 8017308.

It is an arithmetic number, because the mean of its divisors is an integer number (166342995).

Almost surely, 2^13283307360 is an apocalyptic number.

13283307360 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 13283307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23953391280).

13283307360 is an abundant number, since it is smaller than the sum of its proper divisors (34623475200).

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

13283307360 is a wasteful number, since it uses less digits than its factorization.

13283307360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13283307360 in words is "thirteen billion, two hundred eighty-three million, three hundred seven thousand, three hundred sixty".