1101110113 has 2 divisors, whose sum is σ = 1101110114. Its totient is φ = 1101110112.

The previous prime is 1101110107. The next prime is 1101110123. The reversal of 1101110113 is 3110111011.

It is an a-pointer prime, because the next prime (1101110123) can be obtained adding 1101110113 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 966712464 + 134397649 = 31092^2 + 11593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101110113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101110113.

It is not a weakly prime, because it can be changed into another prime (1101110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550555056 + 550555057.

It is an arithmetic number, because the mean of its divisors is an integer number (550555057).

Almost surely, 2^1101110113 is an apocalyptic number.

It is an amenable number.

1101110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101110113 is an equidigital number, since it uses as much as digits as its factorization.

1101110113 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 10.

The square root of 1101110113 is about 33182.9792664854. The cubic root of 1101110113 is about 1032.6272555465.

Adding to 1101110113 its reverse (3110111011), we get a palindrome (4211221124).

It can be divided in two parts, 110111011 and 3, that multiplied together give a palindrome (330333033).

The spelling of 1101110113 in words is "one billion, one hundred one million, one hundred ten thousand, one hundred thirteen".