1133111520 has 144 divisors (see below), whose sum is σ = 3932575920. Its totient is φ = 297019392.

The previous prime is 1133111513. The next prime is 1133111543. The reversal of 1133111520 is 251113311.

1133111520 is a `hidden beast` number, since 1 + 1 + 33 + 111 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1133111493 and 1133111502.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 78292 + ... + 91628.

It is an arithmetic number, because the mean of its divisors is an integer number (27309555).

Almost surely, 2^1133111520 is an apocalyptic number.

1133111520 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 1133111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966287960).

1133111520 is an abundant number, since it is smaller than the sum of its proper divisors (2799464400).

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

1133111520 is a wasteful number, since it uses less digits than its factorization.

1133111520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1133111520 is about 33661.7218810922. The cubic root of 1133111520 is about 1042.5355783796.

Adding to 1133111520 its reverse (251113311), we get a palindrome (1384224831).

The spelling of 1133111520 in words is "one billion, one hundred thirty-three million, one hundred eleven thousand, five hundred twenty".