11331000 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3019200.

The previous prime is 11330953. The next prime is 11331007. The reversal of 11331000 is 13311.

It is a super-3 number, since 3×11331000³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8371 + ... + 9629.

Almost surely, 2^11331000 is an apocalyptic number.

11331000 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 11331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

11331000 is an abundant number, since it is smaller than the sum of its proper divisors (26998200).

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

11331000 is a wasteful number, since it uses less digits than its factorization.

11331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 11331000 is about 3366.1550766416. The cubic root of 11331000 is about 224.6067203908.

Adding to 11331000 its reverse (13311), we get a palindrome (11344311).

It can be divided in two parts, 113 and 31000, that added together give a palindrome (31113).

The spelling of 11331000 in words is "eleven million, three hundred thirty-one thousand".