10011120113 has 2 divisors, whose sum is σ = 10011120114. Its totient is φ = 10011120112.

The previous prime is 10011120107. The next prime is 10011120169. The reversal of 10011120113 is 31102111001.

It is a happy number.

10011120113 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10010402704 + 717409 = 100052^2 + 847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011120113 - 2²⁰ = 10010071537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011120094 and 10011120103.

It is not a weakly prime, because it can be changed into another prime (10011320113) 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 as a sum of consecutive naturals, namely, 5005560056 + 5005560057.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560057).

Almost surely, 2^10011120113 is an apocalyptic number.

It is an amenable number.

10011120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011120113 is an equidigital number, since it uses as much as digits as its factorization.

10011120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011120113 its reverse (31102111001), we get a palindrome (41113231114).

The spelling of 10011120113 in words is "ten billion, eleven million, one hundred twenty thousand, one hundred thirteen".