111111013 has 8 divisors (see below), whose sum is σ = 120321656. Its totient is φ = 101995200.

The previous prime is 111110969. The next prime is 111111017. The reversal of 111111013 is 310111111.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 101263969 = 3138^2 + 10063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111017) 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 in 7 ways as a sum of consecutive naturals, for example, 21258 + ... + 25963.

It is an arithmetic number, because the mean of its divisors is an integer number (15040207).

Almost surely, 2^111111013 is an apocalyptic number.

111111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111111013 is a deficient number, since it is larger than the sum of its proper divisors (9210643).

111111013 is a wasteful number, since it uses less digits than its factorization.

111111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47415.

The product of its (nonzero) digits is 3, while the sum is 10.

The square root of 111111013 is about 10540.9208800749. The cubic root of 111111013 is about 480.7497152684.

Adding to 111111013 its reverse (310111111), we get a palindrome (421222124).

The spelling of 111111013 in words is "one hundred eleven million, one hundred eleven thousand, thirteen".