111011313321113 has 2 divisors, whose sum is σ = 111011313321114. Its totient is φ = 111011313321112.

The previous prime is 111011313321089. The next prime is 111011313321163. The reversal of 111011313321113 is 311123313110111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58223416202329 + 52787897118784 = 7630427^2 + 7265528^2 .

It is an emirp because it is prime and its reverse (311123313110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111011313321113 - 2⁶ = 111011313321049 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011313321163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505656660556 + 55505656660557.

It is an arithmetic number, because the mean of its divisors is an integer number (55505656660557).

Almost surely, 2^{111011313321113} is an apocalyptic number.

It is an amenable number.

111011313321113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011313321113 is an equidigital number, since it uses as much as digits as its factorization.

111011313321113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

Adding to 111011313321113 its reverse (311123313110111), we get a palindrome (422134626431224).

The spelling of 111011313321113 in words is "one hundred eleven trillion, eleven billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred thirteen".