100011113 has 2 divisors, whose sum is σ = 100011114. Its totient is φ = 100011112.

The previous prime is 100011091. The next prime is 100011137. The reversal of 100011113 is 311110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75290329 + 24720784 = 8677^2 + 4972^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011113 - 2⁸ = 100010857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011113.

It is not a weakly prime, because it can be changed into another prime (100011413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005556 + 50005557.

It is an arithmetic number, because the mean of its divisors is an integer number (50005557).

Almost surely, 2^100011113 is an apocalyptic number.

It is an amenable number.

100011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011113 is an equidigital number, since it uses as much as digits as its factorization.

100011113 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 8.

The square root of 100011113 is about 10000.5556345635. Note that the first 3 decimals coincide. The cubic root of 100011113 is about 464.1760767166.

Adding to 100011113 its reverse (311110001), we get a palindrome (411121114).

The spelling of 100011113 in words is "one hundred million, eleven thousand, one hundred thirteen".