13316041728 has 264 divisors, whose sum is σ = 43776585216. Its totient is φ = 3859046400.

The previous prime is 13316041699. The next prime is 13316041747. The reversal of 13316041728 is 82714061331.

It is a happy number.

13316041728 is a `hidden beast` number, since 1 + 3 + 31 + 604 + 17 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 13316041692 and 13316041701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2328793 + ... + 2334503.

Almost surely, 2^13316041728 is an apocalyptic number.

13316041728 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 13316041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888292608).

13316041728 is an abundant number, since it is smaller than the sum of its proper divisors (30460543488).

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

13316041728 is a wasteful number, since it uses less digits than its factorization.

13316041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13316041728 in words is "thirteen billion, three hundred sixteen million, forty-one thousand, seven hundred twenty-eight".