111013305 has 64 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 51803136.

The previous prime is 111013289. The next prime is 111013321. The reversal of 111013305 is 503310111.

It is an interprime number because it is at equal distance from previous prime (111013289) and next prime (111013321).

It is not a de Polignac number, because 111013305 - 2⁴ = 111013289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378739 + ... + 379031.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 2^111013305 is an apocalyptic number.

111013305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111013305 is a deficient number, since it is larger than the sum of its proper divisors (90506055).

111013305 is a wasteful number, since it uses less digits than its factorization.

111013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 111013305 is about 10536.2851612891. The cubic root of 111013305 is about 480.6087545373.

Adding to 111013305 its reverse (503310111), we get a palindrome (614323416).

The spelling of 111013305 in words is "one hundred eleven million, thirteen thousand, three hundred five".