13003641306 has 96 divisors (see below), whose sum is σ = 30068625600. Its totient is φ = 4049844480.

The previous prime is 13003641263. The next prime is 13003641311. The reversal of 13003641306 is 60314630031.

13003641306 is a `hidden beast` number, since 13 + 0 + 0 + 3 + 641 + 3 + 0 + 6 = 666.

13003641306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13003641306.

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 47 ways as a sum of consecutive naturals, for example, 9843126 + ... + 9844446.

It is an arithmetic number, because the mean of its divisors is an integer number (313214850).

Almost surely, 2^13003641306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003641306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034312800).

13003641306 is an abundant number, since it is smaller than the sum of its proper divisors (17064984294).

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

13003641306 is a wasteful number, since it uses less digits than its factorization.

13003641306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13003641306 in words is "thirteen billion, three million, six hundred forty-one thousand, three hundred six".