111331093 has 2 divisors, whose sum is σ = 111331094. Its totient is φ = 111331092.

The previous prime is 111331091. The next prime is 111331117. The reversal of 111331093 is 390133111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64995844 + 46335249 = 8062^2 + 6807^2 .

It is a cyclic number.

It is not a de Polignac number, because 111331093 - 2¹ = 111331091 is a prime.

It is a super-2 number, since 2×111331093² = 24789224537149298, which contains 22 as substring.

Together with 111331091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111331091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55665546 + 55665547.

It is an arithmetic number, because the mean of its divisors is an integer number (55665547).

Almost surely, 2^111331093 is an apocalyptic number.

It is an amenable number.

111331093 is a deficient number, since it is larger than the sum of its proper divisors (1).

111331093 is an equidigital number, since it uses as much as digits as its factorization.

111331093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 111331093 is about 10551.3550314640. The cubic root of 111331093 is about 481.0669164037.

The spelling of 111331093 in words is "one hundred eleven million, three hundred thirty-one thousand, ninety-three".