13330113013 has 16 divisors (see below), whose sum is σ = 15900641280. Its totient is φ = 10926382896.

The previous prime is 13330113011. The next prime is 13330113053. The reversal of 13330113013 is 31031103331.

It is a happy number.

13330113013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13330113013 - 2¹ = 13330113011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330113011) 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 15 ways as a sum of consecutive naturals, for example, 923256 + ... + 937582.

It is an arithmetic number, because the mean of its divisors is an integer number (993790080).

Almost surely, 2^13330113013 is an apocalyptic number.

It is an amenable number.

13330113013 is a deficient number, since it is larger than the sum of its proper divisors (2570528267).

13330113013 is a wasteful number, since it uses less digits than its factorization.

13330113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13330113013 its reverse (31031103331), we get a palindrome (44361216344).

The spelling of 13330113013 in words is "thirteen billion, three hundred thirty million, one hundred thirteen thousand, thirteen".