13334300013 has 16 divisors (see below), whose sum is σ = 18878247936. Its totient is φ = 8342906880.

The previous prime is 13334300003. The next prime is 13334300039. The reversal of 13334300013 is 31000343331.

13334300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13334300013 - 2⁶ = 13334299949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334300003) 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, 352333 + ... + 388338.

It is an arithmetic number, because the mean of its divisors is an integer number (1179890496).

Almost surely, 2^13334300013 is an apocalyptic number.

It is an amenable number.

13334300013 is a deficient number, since it is larger than the sum of its proper divisors (5543947923).

13334300013 is a wasteful number, since it uses less digits than its factorization.

13334300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741044.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13334300013 its reverse (31000343331), we get a palindrome (44334643344).

The spelling of 13334300013 in words is "thirteen billion, three hundred thirty-four million, three hundred thousand, thirteen".