13005051111 has 24 divisors (see below), whose sum is σ = 20303162880. Its totient is φ = 7974196416.

The previous prime is 13005051097. The next prime is 13005051151. The reversal of 13005051111 is 11115050031.

13005051111 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 13005051111 - 2¹¹ = 13005049063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005051151) 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 23 ways as a sum of consecutive naturals, for example, 168231 + ... + 233048.

It is an arithmetic number, because the mean of its divisors is an integer number (845965120).

Almost surely, 2^13005051111 is an apocalyptic number.

13005051111 is a deficient number, since it is larger than the sum of its proper divisors (7298111769).

13005051111 is a wasteful number, since it uses less digits than its factorization.

13005051111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401575 (or 401572 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 13005051111 in words is "thirteen billion, five million, fifty-one thousand, one hundred eleven".