101111113 has 2 divisors, whose sum is σ = 101111114.
Its totient is φ = 101111112.
The previous prime is 101111111. The next prime is 101111117. The reversal of 101111113 is 311111101.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 56595529 + 44515584 = 7523^2 + 6672^2
It is a cyclic number.
It is not a de Polignac number, because 101111113 - 21 = 101111111 is a prime.
Together with 101111111, it forms a pair of twin primes.
It is a self number, because there is not a number n which added to its sum of digits gives 101111113.
It is not a weakly prime, because it can be changed into another prime (101111111) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555556 + 50555557.
It is an arithmetic number, because the mean of its divisors is an integer number (50555557).
Almost surely, 2101111113 is an apocalyptic number.
It is an amenable number.
101111113 is a deficient number, since it is larger than the sum of its proper divisors (1).
101111113 is an equidigital number, since it uses as much as digits as its factorization.
101111113 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 10.
The square root of 101111113 is about 10055.4021799230.
The cubic root of 101111113 is about 465.8716651889.
Adding to 101111113 its reverse (311111101), we get a palindrome (412222214).
The spelling of 101111113 in words is "one hundred one million, one hundred eleven thousand, one hundred thirteen".