1323313200 has 600 divisors, whose sum is σ = 5358228480. Its totient is φ = 310003200.

The previous prime is 1323313139. The next prime is 1323313283. The reversal of 1323313200 is 23133231.

1323313200 is a `hidden beast` number, since 13 + 2 + 331 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16750761 + ... + 16750839.

Almost surely, 2^1323313200 is an apocalyptic number.

1323313200 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 1323313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679114240).

1323313200 is an abundant number, since it is smaller than the sum of its proper divisors (4034915280).

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

1323313200 is a wasteful number, since it uses less digits than its factorization.

1323313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1323313200 is about 36377.3720876041. The cubic root of 1323313200 is about 1097.8783346335.

Adding to 1323313200 its reverse (23133231), we get a palindrome (1346446431).

It can be divided in two parts, 132331 and 3200, that added together give a palindrome (135531).

The spelling of 1323313200 in words is "one billion, three hundred twenty-three million, three hundred thirteen thousand, two hundred".