11200001113117 has 2 divisors, whose sum is σ = 11200001113118. Its totient is φ = 11200001113116.

The previous prime is 11200001113043. The next prime is 11200001113123. The reversal of 11200001113117 is 71131110000211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10182442708036 + 1017558405081 = 3190994^2 + 1008741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11200001113117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11200001113094 and 11200001113103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11200001113157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600000556558 + 5600000556559.

It is an arithmetic number, because the mean of its divisors is an integer number (5600000556559).

Almost surely, 2^{11200001113117} is an apocalyptic number.

It is an amenable number.

11200001113117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200001113117 is an equidigital number, since it uses as much as digits as its factorization.

11200001113117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 11200001113117 its reverse (71131110000211), we get a palindrome (82331111113328).

The spelling of 11200001113117 in words is "eleven trillion, two hundred billion, one million, one hundred thirteen thousand, one hundred seventeen".