1323133020000 has 720 divisors, whose sum is σ = 5399371897920. Its totient is φ = 303868800000.

The previous prime is 1323133019987. The next prime is 1323133020017. The reversal of 1323133020000 is 203313231.

1323133020000 is a `hidden beast` number, since 132 + 3 + 1 + 330 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1323133020000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37602415 + ... + 37637585.

It is an arithmetic number, because the mean of its divisors is an integer number (7499127636).

Almost surely, 2^{1323133020000} is an apocalyptic number.

1323133020000 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 1323133020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699685948960).

1323133020000 is an abundant number, since it is smaller than the sum of its proper divisors (4076238877920).

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

1323133020000 is a wasteful number, since it uses less digits than its factorization.

1323133020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35237 (or 35211 counting only the distinct ones).

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

Adding to 1323133020000 its reverse (203313231), we get a palindrome (1323336333231).

The spelling of 1323133020000 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-three million, twenty thousand".