11331320 has 128 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 3248640.

The previous prime is 11331319. The next prime is 11331329. The reversal of 11331320 is 2313311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11331295 and 11331304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39899 + ... + 40181.

It is an arithmetic number, because the mean of its divisors is an integer number (268380).

Almost surely, 2^11331320 is an apocalyptic number.

11331320 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 11331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

11331320 is an abundant number, since it is smaller than the sum of its proper divisors (23021320).

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

11331320 is a wasteful number, since it uses less digits than its factorization.

11331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 11331320 is about 3366.2026082813. The cubic root of 11331320 is about 224.6088347518.

Adding to 11331320 its reverse (2313311), we get a palindrome (13644631).

Subtracting from 11331320 its reverse (2313311), we obtain a square (9018009 = 3003²).

The spelling of 11331320 in words is "eleven million, three hundred thirty-one thousand, three hundred twenty".