133012220211000 has 768 divisors, whose sum is σ = 526087315353600. Its totient is φ = 30017630592000.

The previous prime is 133012220210977. The next prime is 133012220211001. The reversal of 133012220211000 is 112022210331.

133012220211000 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 220 + 2 + 110 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012220211001) 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, 67947927 + ... + 69878073.

It is an arithmetic number, because the mean of its divisors is an integer number (685009525200).

Almost surely, 2^{133012220211000} is an apocalyptic number.

133012220211000 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 133012220211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263043657676800).

133012220211000 is an abundant number, since it is smaller than the sum of its proper divisors (393075095142600).

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

133012220211000 is a wasteful number, since it uses less digits than its factorization.

133012220211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930237 (or 1930220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133012220211000 its reverse (112022210331), we get a palindrome (133124242421331).

The spelling of 133012220211000 in words is "one hundred thirty-three trillion, twelve billion, two hundred twenty million, two hundred eleven thousand".