111011010113 has 2 divisors, whose sum is σ = 111011010114. Its totient is φ = 111011010112.

The previous prime is 111011010101. The next prime is 111011010119. The reversal of 111011010113 is 311010110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102869015824 + 8141994289 = 320732^2 + 90233^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011010113 - 2²⁰ = 111009961537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111011010094 and 111011010103.

It is not a weakly prime, because it can be changed into another prime (111011010119) 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, 55505505056 + 55505505057.

It is an arithmetic number, because the mean of its divisors is an integer number (55505505057).

Almost surely, 2^111011010113 is an apocalyptic number.

It is an amenable number.

111011010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011010113 is an equidigital number, since it uses as much as digits as its factorization.

111011010113 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 11.

Adding to 111011010113 its reverse (311010110111), we get a palindrome (422021120224).

The spelling of 111011010113 in words is "one hundred eleven billion, eleven million, ten thousand, one hundred thirteen".