11506114113 has 16 divisors (see below), whose sum is σ = 17239931520. Its totient is φ = 6772829184.

The previous prime is 11506114099. The next prime is 11506114117. The reversal of 11506114113 is 31141160511.

11506114113 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 11506114113 - 2¹⁸ = 11505851969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11506114117) 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, 6412768 + ... + 6414561.

It is an arithmetic number, because the mean of its divisors is an integer number (1077495720).

Almost surely, 2^11506114113 is an apocalyptic number.

11506114113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11506114113 is a deficient number, since it is larger than the sum of its proper divisors (5733817407).

11506114113 is a wasteful number, since it uses less digits than its factorization.

11506114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827368.

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 11506114113 its reverse (31141160511), we get a palindrome (42647274624).

The spelling of 11506114113 in words is "eleven billion, five hundred six million, one hundred fourteen thousand, one hundred thirteen".