111011313121 has 2 divisors, whose sum is σ = 111011313122. Its totient is φ = 111011313120.

The previous prime is 111011313089. The next prime is 111011313137. The reversal of 111011313121 is 121313110111.

It is an a-pointer prime, because the next prime (111011313137) can be obtained adding 111011313121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97883882496 + 13127430625 = 312864^2 + 114575^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011313121 - 2⁵ = 111011313089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111011313095 and 111011313104.

It is not a weakly prime, because it can be changed into another prime (111011313181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505656560 + 55505656561.

It is an arithmetic number, because the mean of its divisors is an integer number (55505656561).

Almost surely, 2^111011313121 is an apocalyptic number.

It is an amenable number.

111011313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011313121 is an equidigital number, since it uses as much as digits as its factorization.

111011313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 111011313121 its reverse (121313110111), we get a palindrome (232324423232).

The spelling of 111011313121 in words is "one hundred eleven billion, eleven million, three hundred thirteen thousand, one hundred twenty-one".