11513120 has 48 divisors (see below), whose sum is σ = 27796608. Its totient is φ = 4504320.

The previous prime is 11513077. The next prime is 11513141. The reversal of 11513120 is 2131511.

11513120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11513095 and 11513104.

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, 6755 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (579096).

Almost surely, 2^11513120 is an apocalyptic number.

11513120 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 11513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898304).

11513120 is an abundant number, since it is smaller than the sum of its proper divisors (16283488).

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

11513120 is a wasteful number, since it uses less digits than its factorization.

11513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 11513120 is about 3393.0988786064. The cubic root of 11513120 is about 225.8036773677.

Adding to 11513120 its reverse (2131511), we get a palindrome (13644631).

The spelling of 11513120 in words is "eleven million, five hundred thirteen thousand, one hundred twenty".