111111211122113 has 2 divisors, whose sum is σ = 111111211122114. Its totient is φ = 111111211122112.

The previous prime is 111111211122061. The next prime is 111111211122139. The reversal of 111111211122113 is 311221112111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107489866823824 + 3621344298289 = 10367732^2 + 1902983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111211122113 is a prime.

It is not a weakly prime, because it can be changed into another prime (111111211124113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555605561056 + 55555605561057.

It is an arithmetic number, because the mean of its divisors is an integer number (55555605561057).

Almost surely, 2^{111111211122113} is an apocalyptic number.

It is an amenable number.

111111211122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111211122113 is an equidigital number, since it uses as much as digits as its factorization.

111111211122113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 20.

Adding to 111111211122113 its reverse (311221112111111), we get a palindrome (422332323233224).

The spelling of 111111211122113 in words is "one hundred eleven trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred thirteen".