111010011101113 has 2 divisors, whose sum is σ = 111010011101114. Its totient is φ = 111010011101112.

The previous prime is 111010011101083. The next prime is 111010011101131. The reversal of 111010011101113 is 311101110010111.

It is a happy number.

Together with next prime (111010011101131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109267048735744 + 1742962365369 = 10453088^2 + 1320213^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010011101113 - 2²⁹ = 111009474230201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111010011101093 and 111010011101102.

It is not a weakly prime, because it can be changed into another prime (111010051101113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505005550556 + 55505005550557.

It is an arithmetic number, because the mean of its divisors is an integer number (55505005550557).

Almost surely, 2^{111010011101113} is an apocalyptic number.

It is an amenable number.

111010011101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010011101113 is an equidigital number, since it uses as much as digits as its factorization.

111010011101113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111010011101113 its reverse (311101110010111), we get a palindrome (422111121111224).

The spelling of 111010011101113 in words is "one hundred eleven trillion, ten billion, eleven million, one hundred one thousand, one hundred thirteen".