11513320 has 64 divisors (see below), whose sum is σ = 31893120. Its totient is φ = 3642624.

The previous prime is 11513311. The next prime is 11513321. The reversal of 11513320 is 2331511.

It is a junction number, because it is equal to n+sod(n) for n = 11513294 and 11513303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (498330).

Almost surely, 2^11513320 is an apocalyptic number.

11513320 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 11513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946560).

11513320 is an abundant number, since it is smaller than the sum of its proper divisors (20379800).

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

11513320 is a wasteful number, since it uses less digits than its factorization.

11513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 11513320 is about 3393.1283500628. The cubic root of 11513320 is about 225.8049848753.

Adding to 11513320 its reverse (2331511), we get a palindrome (13844831).

The spelling of 11513320 in words is "eleven million, five hundred thirteen thousand, three hundred twenty".