11331033120 has 576 divisors, whose sum is σ = 46235629440. Its totient is φ = 2494464000.

The previous prime is 11331033113. The next prime is 11331033139. The reversal of 11331033120 is 2133013311.

It is a happy number.

11331033120 is a `hidden beast` number, since 1 + 1 + 3 + 310 + 331 + 20 = 666.

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 = 11331033093 and 11331033102.

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 95 ways as a sum of consecutive naturals, for example, 7808395 + ... + 7809845.

It is an arithmetic number, because the mean of its divisors is an integer number (80270190).

Almost surely, 2^11331033120 is an apocalyptic number.

11331033120 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 11331033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117814720).

11331033120 is an abundant number, since it is smaller than the sum of its proper divisors (34904596320).

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

11331033120 is a wasteful number, since it uses less digits than its factorization.

11331033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331033120 its reverse (2133013311), we get a palindrome (13464046431).

The spelling of 11331033120 in words is "eleven billion, three hundred thirty-one million, thirty-three thousand, one hundred twenty".