1133322320 has 160 divisors (see below), whose sum is σ = 2995120800. Its totient is φ = 395845632.

The previous prime is 1133322283. The next prime is 1133322331. The reversal of 1133322320 is 232233311.

It can be written as a sum of positive squares in 16 ways, for example, as 513113104 + 620209216 = 22652^2 + 24904^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1133322292 and 1133322301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598126 + ... + 1598834.

It is an arithmetic number, because the mean of its divisors is an integer number (18719505).

Almost surely, 2^1133322320 is an apocalyptic number.

1133322320 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 1133322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497560400).

1133322320 is an abundant number, since it is smaller than the sum of its proper divisors (1861798480).

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

1133322320 is a wasteful number, since it uses less digits than its factorization.

1133322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1133322320 is about 33664.8528884354. The cubic root of 1133322320 is about 1042.6002242300.

Adding to 1133322320 its reverse (232233311), we get a palindrome (1365555631).

The spelling of 1133322320 in words is "one billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".