13323300332100 has 216 divisors, whose sum is σ = 42605884548864. Its totient is φ = 3212044704000.

The previous prime is 13323300332071. The next prime is 13323300332101. The reversal of 13323300332100 is 123300332331.

It is not an unprimeable number, because it can be changed into a prime (13323300332101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5556397 + ... + 7584203.

It is an arithmetic number, because the mean of its divisors is an integer number (197249465504).

Almost surely, 2^{13323300332100} is an apocalyptic number.

13323300332100 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 13323300332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302942274432).

13323300332100 is an abundant number, since it is smaller than the sum of its proper divisors (29282584216764).

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

13323300332100 is a wasteful number, since it uses less digits than its factorization.

13323300332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028027 (or 2028009 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13323300332100 its reverse (123300332331), we get a palindrome (13446600664431).

The spelling of 13323300332100 in words is "thirteen trillion, three hundred twenty-three billion, three hundred million, three hundred thirty-two thousand, one hundred".