10011111110113 has 2 divisors, whose sum is σ = 10011111110114. Its totient is φ = 10011111110112.

The previous prime is 10011111110047. The next prime is 10011111110123. The reversal of 10011111110113 is 31101111111001.

It is a happy number.

10011111110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9523470064144 + 487641045969 = 3086012^2 + 698313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011111110113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011111110093 and 10011111110102.

It is not a weakly prime, because it can be changed into another prime (10011111110123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555555056 + 5005555555057.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555555057).

Almost surely, 2^{10011111110113} is an apocalyptic number.

It is an amenable number.

10011111110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111110113 is an equidigital number, since it uses as much as digits as its factorization.

10011111110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 10011111110113 its reverse (31101111111001), we get a palindrome (41112222221114).

The spelling of 10011111110113 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one hundred thirteen".