100000110111113 has 2 divisors, whose sum is σ = 100000110111114. Its totient is φ = 100000110111112.

The previous prime is 100000110111091. The next prime is 100000110111119. The reversal of 100000110111113 is 311111011000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92271643390969 + 7728466720144 = 9605813^2 + 2780012^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000110111113 - 2³⁶ = 99931390634377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000110111094 and 100000110111103.

It is not a weakly prime, because it can be changed into another prime (100000110111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055055556 + 50000055055557.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055055557).

Almost surely, 2^{100000110111113} is an apocalyptic number.

It is an amenable number.

100000110111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000110111113 is an equidigital number, since it uses as much as digits as its factorization.

100000110111113 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 100000110111113 its reverse (311111011000001), we get a palindrome (411111121111114).

The spelling of 100000110111113 in words is "one hundred trillion, one hundred ten million, one hundred eleven thousand, one hundred thirteen".