101110111121113 has 2 divisors, whose sum is σ = 101110111121114. Its totient is φ = 101110111121112.

The previous prime is 101110111121111. The next prime is 101110111121167. The reversal of 101110111121113 is 311121111011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53239598123209 + 47870512997904 = 7296547^2 + 6918852^2 .

It is an emirp because it is prime and its reverse (311121111011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110111121113 - 2¹ = 101110111121111 is a prime.

Together with 101110111121111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101110111121111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055560556 + 50555055560557.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055560557).

Almost surely, 2^{101110111121113} is an apocalyptic number.

It is an amenable number.

101110111121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111121113 is an equidigital number, since it uses as much as digits as its factorization.

101110111121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 16.

Adding to 101110111121113 its reverse (311121111011101), we get a palindrome (412231222132214).

The spelling of 101110111121113 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".