133022030022000 has 480 divisors, whose sum is σ = 531040544087040. Its totient is φ = 30401183116800.

The previous prime is 133022030021791. The next prime is 133022030022023. The reversal of 133022030022000 is 220030220331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1061235331 + ... + 1061360669.

It is an arithmetic number, because the mean of its divisors is an integer number (1106334466848).

Almost surely, 2^{133022030022000} is an apocalyptic number.

133022030022000 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 133022030022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265520272043520).

133022030022000 is an abundant number, since it is smaller than the sum of its proper divisors (398018514065040).

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

133022030022000 is a wasteful number, since it uses less digits than its factorization.

133022030022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133798 (or 133779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133022030022000 its reverse (220030220331), we get a palindrome (133242060242331).

The spelling of 133022030022000 in words is "one hundred thirty-three trillion, twenty-two billion, thirty million, twenty-two thousand".