1323133056 has 384 divisors, whose sum is σ = 4633574400. Its totient is φ = 368022528.

The previous prime is 1323133037. The next prime is 1323133057. The reversal of 1323133056 is 6503313231.

It is a happy number.

1323133056 is a `hidden beast` number, since 1 + 323 + 1 + 330 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1323133057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12845901 + ... + 12846003.

It is an arithmetic number, because the mean of its divisors is an integer number (12066600).

Almost surely, 2^1323133056 is an apocalyptic number.

1323133056 is a gapful number since it is divisible by the number (16) 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 1323133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316787200).

1323133056 is an abundant number, since it is smaller than the sum of its proper divisors (3310441344).

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

1323133056 is an equidigital number, since it uses as much as digits as its factorization.

1323133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1323133056 is about 36374.8959586141. The cubic root of 1323133056 is about 1097.8285139335.

Adding to 1323133056 its reverse (6503313231), we get a palindrome (7826446287).

The spelling of 1323133056 in words is "one billion, three hundred twenty-three million, one hundred thirty-three thousand, fifty-six".