1133311120 has 80 divisors (see below), whose sum is σ = 2802999168. Its totient is φ = 424663040.

The previous prime is 1133311099. The next prime is 1133311129. The reversal of 1133311120 is 211133311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1133311094 and 1133311103.

It is not an unprimeable number, because it can be changed into a prime (1133311129) 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 15 ways as a sum of consecutive naturals, for example, 306885 + ... + 310555.

Almost surely, 2^1133311120 is an apocalyptic number.

1133311120 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 1133311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401499584).

1133311120 is an abundant number, since it is smaller than the sum of its proper divisors (1669688048).

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

1133311120 is a wasteful number, since it uses less digits than its factorization.

1133311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1133311120 is about 33664.6865424290. The cubic root of 1133311120 is about 1042.5967897375.

Adding to 1133311120 its reverse (211133311), we get a palindrome (1344444431).

The spelling of 1133311120 in words is "one billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty".