133301022012000 has 144 divisors (see below), whose sum is σ = 473085327248352. Its totient is φ = 35546939193600.

The previous prime is 133301022011909. The next prime is 133301022012001. The reversal of 133301022012000 is 210220103331.

133301022012000 is a `hidden beast` number, since 13 + 330 + 102 + 20 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (133301022012001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851367084 + ... + 1851439083.

It is an arithmetic number, because the mean of its divisors is an integer number (3285314772558).

Almost surely, 2^{133301022012000} is an apocalyptic number.

133301022012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133301022012000 is an abundant number, since it is smaller than the sum of its proper divisors (339784305236352).

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

133301022012000 is a wasteful number, since it uses less digits than its factorization.

133301022012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702806198 (or 3702806177 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133301022012000 its reverse (210220103331), we get a palindrome (133511242115331).

The spelling of 133301022012000 in words is "one hundred thirty-three trillion, three hundred one billion, twenty-two million, twelve thousand".