11130 has 32 divisors (see below), whose sum is σ = 31104. Its totient is φ = 2496.

The previous prime is 11119. The next prime is 11131. The reversal of 11130 is 3111.

11130 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (11131) by changing a digit.

11130 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 15 ways as a sum of consecutive naturals, for example, 184 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

2¹¹¹³⁰ is an apocalyptic number.

11130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 105×106.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

11130 is an abundant number, since it is smaller than the sum of its proper divisors (19974).

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

11130 is a wasteful number, since it uses less digits than its factorization.

11130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11130 is about 105.4988151592. The cubic root of 11130 is about 22.3270693554.

Adding to 11130 its reverse (3111), we get a palindrome (14241).

It can be divided in two parts, 111 and 30, that added together give a palindrome (141).

The spelling of 11130 in words is "eleven thousand, one hundred thirty".