113130 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 30096.

The previous prime is 113123. The next prime is 113131. The reversal of 113130 is 31311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131) by changing a digit.

113130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹¹³¹³⁰ is an apocalyptic number.

113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

113130 is an abundant number, since it is smaller than the sum of its proper divisors (189270).

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

113130 is a wasteful number, since it uses less digits than its factorization.

113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

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

The square root of 113130 is about 336.3480340362. The cubic root of 113130 is about 48.3644138845.

Adding to 113130 its reverse (31311), we get a palindrome (144441).

It can be divided in two parts, 1131 and 30, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 113130 in words is "one hundred thirteen thousand, one hundred thirty".