1101323314000 has 720 divisors, whose sum is σ = 3471577827120. Its totient is φ = 336384921600.

The previous prime is 1101323313991. The next prime is 1101323314067. The reversal of 1101323314000 is 4133231011.

It can be written as a sum of positive squares in 24 ways, for example, as 1000824169744 + 100499144256 = 1000412^2 + 317016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 480296854 + ... + 480299146.

It is an arithmetic number, because the mean of its divisors is an integer number (4821635871).

Almost surely, 2^{1101323314000} is an apocalyptic number.

1101323314000 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 1101323314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735788913560).

1101323314000 is an abundant number, since it is smaller than the sum of its proper divisors (2370254513120).

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

1101323314000 is a wasteful number, since it uses less digits than its factorization.

1101323314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1101323314000 its reverse (4133231011), we get a palindrome (1105456545011).

The spelling of 1101323314000 in words is "one trillion, one hundred one billion, three hundred twenty-three million, three hundred fourteen thousand".