11513124 has 96 divisors (see below), whose sum is σ = 34684160. Its totient is φ = 3234816.

The previous prime is 11513077. The next prime is 11513141. The reversal of 11513124 is 42131511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11513097 and 11513106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73254 + ... + 73410.

Almost surely, 2^11513124 is an apocalyptic number.

11513124 is a gapful number since it is divisible by the number (14) 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 11513124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342080).

11513124 is an abundant number, since it is smaller than the sum of its proper divisors (23171036).

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

11513124 is a wasteful number, since it uses less digits than its factorization.

11513124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11513124 is about 3393.0994680380. The cubic root of 11513124 is about 225.8037035180.

Adding to 11513124 its reverse (42131511), we get a palindrome (53644635).

The spelling of 11513124 in words is "eleven million, five hundred thirteen thousand, one hundred twenty-four".