133320210002112 has 672 divisors, whose sum is σ = 435679184885760. Its totient is φ = 35811947888640.

The previous prime is 133320210002099. The next prime is 133320210002137. The reversal of 133320210002112 is 211200012023331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 7370227564 + ... + 7370245652.

Almost surely, 2^{133320210002112} is an apocalyptic number.

133320210002112 is a gapful number since it is divisible by the number (12) 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 133320210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217839592442880).

133320210002112 is an abundant number, since it is smaller than the sum of its proper divisors (302358974883648).

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

133320210002112 is a wasteful number, since it uses less digits than its factorization.

133320210002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18869 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133320210002112 its reverse (211200012023331), we get a palindrome (344520222025443).

The spelling of 133320210002112 in words is "one hundred thirty-three trillion, three hundred twenty billion, two hundred ten million, two thousand, one hundred twelve".