113016 has 32 divisors (see below), whose sum is σ = 300240. Its totient is φ = 35328.

The previous prime is 113011. The next prime is 113017. The reversal of 113016 is 610311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112992 and 113010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011) by changing a digit.

113016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 546.

2¹¹³⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150120).

113016 is an abundant number, since it is smaller than the sum of its proper divisors (187224).

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

113016 is a wasteful number, since it uses less digits than its factorization.

113016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113016 is about 336.1785240018. The cubic root of 113016 is about 48.3481629749.

Adding to 113016 its reverse (610311), we get a palindrome (723327).

The spelling of 113016 in words is "one hundred thirteen thousand, sixteen".