13283316480 has 576 divisors, whose sum is σ = 52745011200. Its totient is φ = 2780282880.

The previous prime is 13283316467. The next prime is 13283316583. The reversal of 13283316480 is 8461338231.

13283316480 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 63 ways as a sum of consecutive naturals, for example, 15831901 + ... + 15832739.

It is an arithmetic number, because the mean of its divisors is an integer number (91571200).

Almost surely, 2^13283316480 is an apocalyptic number.

13283316480 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 13283316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372505600).

13283316480 is an abundant number, since it is smaller than the sum of its proper divisors (39461694720).

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

13283316480 is a wasteful number, since it uses less digits than its factorization.

13283316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13283316480 in words is "thirteen billion, two hundred eighty-three million, three hundred sixteen thousand, four hundred eighty".