11111112122113 has 2 divisors, whose sum is σ = 11111112122114. Its totient is φ = 11111112122112.

The previous prime is 11111112122069. The next prime is 11111112122137. The reversal of 11111112122113 is 31122121111111.

It is a happy number.

It is a m-pointer prime, because the next prime (11111112122137) can be obtained adding 11111112122113 to its product of digits (24).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5603792076289 + 5507320045824 = 2367233^2 + 2346768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11111112122113 is a prime.

It is not a weakly prime, because it can be changed into another prime (11111112122153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555556061056 + 5555556061057.

It is an arithmetic number, because the mean of its divisors is an integer number (5555556061057).

Almost surely, 2^{11111112122113} is an apocalyptic number.

It is an amenable number.

11111112122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111112122113 is an equidigital number, since it uses as much as digits as its factorization.

11111112122113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 19.

Adding to 11111112122113 its reverse (31122121111111), we get a palindrome (42233233233224).

The spelling of 11111112122113 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".