11100111101113 has 2 divisors, whose sum is σ = 11100111101114. Its totient is φ = 11100111101112.

The previous prime is 11100111101039. The next prime is 11100111101159. The reversal of 11100111101113 is 31110111100111.

It is a happy number.

11100111101113 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., 10660048690729 + 440062410384 = 3264973^2 + 663372^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100111101113 - 2³³ = 11091521166521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11100111101093 and 11100111101102.

It is not a weakly prime, because it can be changed into another prime (11100111101213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550055550556 + 5550055550557.

It is an arithmetic number, because the mean of its divisors is an integer number (5550055550557).

Almost surely, 2^{11100111101113} is an apocalyptic number.

It is an amenable number.

11100111101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100111101113 is an equidigital number, since it uses as much as digits as its factorization.

11100111101113 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 11100111101113 its reverse (31110111100111), we get a palindrome (42210222201224).

The spelling of 11100111101113 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred thirteen".