133020211104 has 288 divisors, whose sum is σ = 417173440320. Its totient is φ = 39871180800.

The previous prime is 133020211063. The next prime is 133020211111. The reversal of 133020211104 is 401112020331.

133020211104 is a `hidden beast` number, since 1 + 330 + 20 + 211 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201240534 + ... + 201241194.

It is an arithmetic number, because the mean of its divisors is an integer number (1448518890).

Almost surely, 2^133020211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208586720160).

133020211104 is an abundant number, since it is smaller than the sum of its proper divisors (284153229216).

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

133020211104 is a wasteful number, since it uses less digits than its factorization.

133020211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

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

Adding to 133020211104 its reverse (401112020331), we get a palindrome (534132231435).

The spelling of 133020211104 in words is "one hundred thirty-three billion, twenty million, two hundred eleven thousand, one hundred four".