13336006320 has 960 divisors, whose sum is σ = 60386135040. Its totient is φ = 2639609856.

The previous prime is 13336006301. The next prime is 13336006331. The reversal of 13336006320 is 2360063331.

13336006320 is a `hidden beast` number, since 1 + 3 + 33 + 600 + 6 + 3 + 20 = 666.

13336006320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 43439607 + ... + 43439913.

It is an arithmetic number, because the mean of its divisors is an integer number (62902224).

Almost surely, 2^13336006320 is an apocalyptic number.

13336006320 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 13336006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193067520).

13336006320 is an abundant number, since it is smaller than the sum of its proper divisors (47050128720).

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

13336006320 is a wasteful number, since it uses less digits than its factorization.

13336006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13336006320 its reverse (2360063331), we get a palindrome (15696069651).

The spelling of 13336006320 in words is "thirteen billion, three hundred thirty-six million, six thousand, three hundred twenty".