111313000 has 64 divisors (see below), whose sum is σ = 262501200. Its totient is φ = 44179200.

The previous prime is 111312997. The next prime is 111313003. The reversal of 111313000 is 313111.

It is an interprime number because it is at equal distance from previous prime (111312997) and next prime (111313003).

It can be written as a sum of positive squares in 8 ways, for example, as 1943236 + 109369764 = 1394^2 + 10458^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111313003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156646 + ... + 157354.

Almost surely, 2^111313000 is an apocalyptic number.

111313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131250600).

111313000 is an abundant number, since it is smaller than the sum of its proper divisors (151188200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111313000 is a wasteful number, since it uses less digits than its factorization.

111313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 111313000 is about 10550.4976185960. The cubic root of 111313000 is about 481.0408547557.

Adding to 111313000 its reverse (313111), we get a palindrome (111626111).

The spelling of 111313000 in words is "one hundred eleven million, three hundred thirteen thousand".