13333220000100 has 2592 divisors, whose sum is σ = 60000487223040. Its totient is φ = 2400233472000.

The previous prime is 13333220000047. The next prime is 13333220000123. The reversal of 13333220000100 is 100002233331.

13333220000100 is a `hidden beast` number, since 1 + 33 + 332 + 200 + 0 + 0 + 100 = 666.

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

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 863 ways as a sum of consecutive naturals, for example, 12566653570 + ... + 12566654630.

It is an arithmetic number, because the mean of its divisors is an integer number (23148336120).

Almost surely, 2^{13333220000100} is an apocalyptic number.

13333220000100 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 13333220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30000243611520).

13333220000100 is an abundant number, since it is smaller than the sum of its proper divisors (46667267222940).

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

13333220000100 is a wasteful number, since it uses less digits than its factorization.

13333220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1168 counting only the distinct ones).

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

Adding to 13333220000100 its reverse (100002233331), we get a palindrome (13433222233431).

The spelling of 13333220000100 in words is "thirteen trillion, three hundred thirty-three billion, two hundred twenty million, one hundred", and thus it is an aban number.