13281323328 has 672 divisors, whose sum is σ = 49531219200. Its totient is φ = 3415965696.

The previous prime is 13281323317. The next prime is 13281323333. The reversal of 13281323328 is 82332318231.

13281323328 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 323 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 13281323292 and 13281323301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149228308 + ... + 149228396.

Almost surely, 2^13281323328 is an apocalyptic number.

13281323328 is a gapful number since it is divisible by the number (18) 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 13281323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24765609600).

13281323328 is an abundant number, since it is smaller than the sum of its proper divisors (36249895872).

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

13281323328 is a wasteful number, since it uses less digits than its factorization.

13281323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13281323328 in words is "thirteen billion, two hundred eighty-one million, three hundred twenty-three thousand, three hundred twenty-eight".