1323011333100 has 576 divisors, whose sum is σ = 4132535500800. Its totient is φ = 326307072000.

The previous prime is 1323011333051. The next prime is 1323011333107. The reversal of 1323011333100 is 13331103231.

It is a super-3 number, since 3×1323011333100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1323011333107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2694523855 + ... + 2694524345.

It is an arithmetic number, because the mean of its divisors is an integer number (7174540800).

Almost surely, 2^{1323011333100} is an apocalyptic number.

1323011333100 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 1323011333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066267750400).

1323011333100 is an abundant number, since it is smaller than the sum of its proper divisors (2809524167700).

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

1323011333100 is a wasteful number, since it uses less digits than its factorization.

1323011333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1323011333100 its reverse (13331103231), we get a palindrome (1336342436331).

The spelling of 1323011333100 in words is "one trillion, three hundred twenty-three billion, eleven million, three hundred thirty-three thousand, one hundred".