11232100113 has 16 divisors (see below), whose sum is σ = 16684288320. Its totient is φ = 6673713984.

The previous prime is 11232100109. The next prime is 11232100169. The reversal of 11232100113 is 31100123211.

It is a happy number.

It is not a de Polignac number, because 11232100113 - 2² = 11232100109 is a prime.

It is a super-2 number, since 2×11232100113² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11232100092 and 11232100101.

It is not an unprimeable number, because it can be changed into a prime (11232100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4964431 + ... + 4966692.

It is an arithmetic number, because the mean of its divisors is an integer number (1042768020).

Almost surely, 2^11232100113 is an apocalyptic number.

11232100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11232100113 is a deficient number, since it is larger than the sum of its proper divisors (5452188207).

11232100113 is a wasteful number, since it uses less digits than its factorization.

11232100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931168.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11232100113 its reverse (31100123211), we get a palindrome (42332223324).

The spelling of 11232100113 in words is "eleven billion, two hundred thirty-two million, one hundred thousand, one hundred thirteen".