13305000384 has 168 divisors, whose sum is σ = 42591705520. Its totient is φ = 4093784064.

The previous prime is 13305000361. The next prime is 13305000403. The reversal of 13305000384 is 48300050331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169272 + ... + 235080.

Almost surely, 2^13305000384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21295852760).

13305000384 is an abundant number, since it is smaller than the sum of its proper divisors (29286705136).

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

13305000384 is an equidigital number, since it uses as much as digits as its factorization.

13305000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65849 (or 65827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13305000384 in words is "thirteen billion, three hundred five million, three hundred eighty-four", and thus it is an aban number.