1131133320 has 96 divisors (see below), whose sum is σ = 3683436120. Its totient is φ = 301040640.

The previous prime is 1131133291. The next prime is 1131133343. The reversal of 1131133320 is 233311311.

It is a happy number.

1131133320 is a `hidden beast` number, since 1 + 1 + 311 + 33 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 985834404 + 145298916 = 31398^2 + 12054^2 .

It is a super-2 number, since 2×1131133320² = 2558925175228444800, which contains 22 as substring.

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 = 1131133293 and 1131133302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197700 + ... + 203340.

Almost surely, 2^1131133320 is an apocalyptic number.

1131133320 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 1131133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841718060).

1131133320 is an abundant number, since it is smaller than the sum of its proper divisors (2552302800).

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

1131133320 is a wasteful number, since it uses less digits than its factorization.

1131133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215 (or 6208 counting only the distinct ones).

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

The square root of 1131133320 is about 33632.3255217358. The cubic root of 1131133320 is about 1041.9285345112.

Adding to 1131133320 its reverse (233311311), we get a palindrome (1364444631).

The spelling of 1131133320 in words is "one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".