11101200120113 has 2 divisors, whose sum is σ = 11101200120114. Its totient is φ = 11101200120112.

The previous prime is 11101200120041. The next prime is 11101200120167. The reversal of 11101200120113 is 31102100210111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6986886865984 + 4114313254129 = 2643272^2 + 2028377^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101200120113 - 2²⁸ = 11100931684657 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101200126113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550600060056 + 5550600060057.

It is an arithmetic number, because the mean of its divisors is an integer number (5550600060057).

Almost surely, 2^{11101200120113} is an apocalyptic number.

It is an amenable number.

11101200120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101200120113 is an equidigital number, since it uses as much as digits as its factorization.

11101200120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11101200120113 its reverse (31102100210111), we get a palindrome (42203300330224).

The spelling of 11101200120113 in words is "eleven trillion, one hundred one billion, two hundred million, one hundred twenty thousand, one hundred thirteen".