111181813 has 2 divisors, whose sum is σ = 111181814. Its totient is φ = 111181812.

The previous prime is 111181801. The next prime is 111181823. The reversal of 111181813 is 318181111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65254084 + 45927729 = 8078^2 + 6777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111181813 is a prime.

It is a super-2 number, since 2×111181813² = 24722791083933938, which contains 22 as substring.

It is equal to p_6367021 and since 111181813 and 6367021 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111181823) 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, 55590906 + 55590907.

It is an arithmetic number, because the mean of its divisors is an integer number (55590907).

Almost surely, 2^111181813 is an apocalyptic number.

It is an amenable number.

111181813 is a deficient number, since it is larger than the sum of its proper divisors (1).

111181813 is an equidigital number, since it uses as much as digits as its factorization.

111181813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 25.

The square root of 111181813 is about 10544.2786856190. The cubic root of 111181813 is about 480.8518049173.

The spelling of 111181813 in words is "one hundred eleven million, one hundred eighty-one thousand, eight hundred thirteen".