113000 has 32 divisors (see below), whose sum is σ = 266760. Its totient is φ = 44800.

The previous prime is 112997. The next prime is 113011. The reversal of 113000 is 311.

113000 = 23² + 24² + ... + 70².

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 106276 = 82^2 + 326^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1056.

2¹¹³⁰⁰⁰ is an apocalyptic number.

113000 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 113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

113000 is an abundant number, since it is smaller than the sum of its proper divisors (153760).

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

113000 is a wasteful number, since it uses less digits than its factorization.

113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 113000 is about 336.1547262794. The cubic root of 113000 is about 48.3458812711.

Adding to 113000 its reverse (311), we get a palindrome (113311).

The spelling of 113000 in words is "one hundred thirteen thousand".