10001104113 has 96 divisors (see below), whose sum is σ = 18121401088. Its totient is φ = 4774049280.

The previous prime is 10001104093. The next prime is 10001104123. The reversal of 10001104113 is 31140110001.

10001104113 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 10001104113 - 2⁶ = 10001104049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001104123) 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 95 ways as a sum of consecutive naturals, for example, 9149595 + ... + 9150687.

Almost surely, 2^10001104113 is an apocalyptic number.

10001104113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001104113 is a deficient number, since it is larger than the sum of its proper divisors (8120296975).

10001104113 is a wasteful number, since it uses less digits than its factorization.

10001104113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10001104113 its reverse (31140110001), we get a palindrome (41141214114).

The spelling of 10001104113 in words is "ten billion, one million, one hundred four thousand, one hundred thirteen".