13000115101 has 32 divisors (see below), whose sum is σ = 14334796800. Its totient is φ = 11742382080.

The previous prime is 13000115083. The next prime is 13000115113. The reversal of 13000115101 is 10151100031.

13000115101 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 13000115101 - 2¹¹ = 13000113053 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 (13000115201) 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 31 ways as a sum of consecutive naturals, for example, 7290256 + ... + 7292038.

It is an arithmetic number, because the mean of its divisors is an integer number (447962400).

Almost surely, 2^13000115101 is an apocalyptic number.

It is an amenable number.

13000115101 is a deficient number, since it is larger than the sum of its proper divisors (1334681699).

13000115101 is a wasteful number, since it uses less digits than its factorization.

13000115101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029.

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 13000115101 its reverse (10151100031), we get a palindrome (23151215132).

The spelling of 13000115101 in words is "thirteen billion, one hundred fifteen thousand, one hundred one".