1323827801100 has 540 divisors, whose sum is σ = 5073879573840. Its totient is φ = 297623289600.

The previous prime is 1323827801053. The next prime is 1323827801111. The reversal of 1323827801100 is 11087283231.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×1323827801100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 24183561 + ... + 24238239.

Almost surely, 2^{1323827801100} is an apocalyptic number.

1323827801100 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 1323827801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536939786920).

1323827801100 is an abundant number, since it is smaller than the sum of its proper divisors (3750051772740).

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

1323827801100 is a wasteful number, since it uses less digits than its factorization.

1323827801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54780 (or 54757 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1323827801100 in words is "one trillion, three hundred twenty-three billion, eight hundred twenty-seven million, eight hundred one thousand, one hundred".