13383328320 has 336 divisors, whose sum is σ = 49698005760. Its totient is φ = 3295531008.

The previous prime is 13383328303. The next prime is 13383328331. The reversal of 13383328320 is 2382338331.

13383328320 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 3 + 328 + 320 = 666.

It is a super-2 number, since 2×13383328320² (a number of 21 digits) contains 22 as substring.

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

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, 1917477 + ... + 1924443.

Almost surely, 2^13383328320 is an apocalyptic number.

13383328320 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 13383328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24849002880).

13383328320 is an abundant number, since it is smaller than the sum of its proper divisors (36314677440).

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

13383328320 is a wasteful number, since it uses less digits than its factorization.

13383328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13383328320 in words is "thirteen billion, three hundred eighty-three million, three hundred twenty-eight thousand, three hundred twenty".