11300113000113 has 16 divisors (see below), whose sum is σ = 17371602289536. Its totient is φ = 6400063998720.

The previous prime is 11300113000109. The next prime is 11300113000117. The reversal of 11300113000113 is 31100031100311.

It is an interprime number because it is at equal distance from previous prime (11300113000109) and next prime (11300113000117).

It is not a de Polignac number, because 11300113000113 - 2² = 11300113000109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11300113000092 and 11300113000101.

It is not an unprimeable number, because it can be changed into a prime (11300113000117) 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, 2380973818 + ... + 2380978563.

It is an arithmetic number, because the mean of its divisors is an integer number (1085725143096).

Almost surely, 2^{11300113000113} is an apocalyptic number.

It is an amenable number.

11300113000113 is a deficient number, since it is larger than the sum of its proper divisors (6071489289423).

11300113000113 is a wasteful number, since it uses less digits than its factorization.

11300113000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761952504.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11300113000113 its reverse (31100031100311), we get a palindrome (42400144100424).

The spelling of 11300113000113 in words is "eleven trillion, three hundred billion, one hundred thirteen million, one hundred thirteen", and thus it is an aban number.