111013 has 4 divisors (see below), whose sum is σ = 126880. Its totient is φ = 95148.

The previous prime is 110989. The next prime is 111029. The reversal of 111013 is 310111.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 111013 - 2⁹ = 110501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 15859 = 111013 / (1 + 1 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110987 and 111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7923 + ... + 7936.

It is an arithmetic number, because the mean of its divisors is an integer number (31720).

2¹¹¹⁰¹³ is an apocalyptic number.

It is an amenable number.

111013 is a deficient number, since it is larger than the sum of its proper divisors (15867).

111013 is an equidigital number, since it uses as much as digits as its factorization.

111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 111013 is about 333.1861341653. The cubic root of 111013 is about 48.0608314392.

Adding to 111013 its reverse (310111), we get a palindrome (421124).

It can be divided in two parts, 11 and 1013, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 111013 in words is "one hundred eleven thousand, thirteen".