11105155113 has 48 divisors (see below), whose sum is σ = 16886010240. Its totient is φ = 6476101632.

The previous prime is 11105155091. The next prime is 11105155121. The reversal of 11105155113 is 31155150111.

11105155113 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 11105155113 - 2¹² = 11105151017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11105155213) 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 47 ways as a sum of consecutive naturals, for example, 1266681 + ... + 1275417.

It is an arithmetic number, because the mean of its divisors is an integer number (351791880).

Almost surely, 2^11105155113 is an apocalyptic number.

11105155113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11105155113 is a deficient number, since it is larger than the sum of its proper divisors (5780855127).

11105155113 is a wasteful number, since it uses less digits than its factorization.

11105155113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 24.

The spelling of 11105155113 in words is "eleven billion, one hundred five million, one hundred fifty-five thousand, one hundred thirteen".