10013013209 has 8 divisors (see below), whose sum is σ = 10602890568. Its totient is φ = 9423233280.

The previous prime is 10013013203. The next prime is 10013013211. The reversal of 10013013209 is 90231031001.

10013013209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3814915225 + 6198097984 = 61765^2 + 78728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10013013209 is a prime.

It is a Duffinian number.

10013013209 is a modest number, since divided by 13209 gives 10013 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10013013203) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 367319 + ... + 393635.

It is an arithmetic number, because the mean of its divisors is an integer number (1325361321).

Almost surely, 2^10013013209 is an apocalyptic number.

It is an amenable number.

10013013209 is a deficient number, since it is larger than the sum of its proper divisors (589877359).

10013013209 is a wasteful number, since it uses less digits than its factorization.

10013013209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48715.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10013013209 in words is "ten billion, thirteen million, thirteen thousand, two hundred nine".