133022323202120 has 256 divisors, whose sum is σ = 330913589760000. Its totient is φ = 47723007974400.

The previous prime is 133022323202113. The next prime is 133022323202149. The reversal of 133022323202120 is 21202323220331.

It is a self number, because there is not a number n which added to its sum of digits gives 133022323202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30586873706 + ... + 30586878054.

It is an arithmetic number, because the mean of its divisors is an integer number (1292631210000).

Almost surely, 2^{133022323202120} is an apocalyptic number.

133022323202120 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 133022323202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165456794880000).

133022323202120 is an abundant number, since it is smaller than the sum of its proper divisors (197891266557880).

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

133022323202120 is a wasteful number, since it uses less digits than its factorization.

133022323202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 133022323202120 its reverse (21202323220331), we get a palindrome (154224646422451).

The spelling of 133022323202120 in words is "one hundred thirty-three trillion, twenty-two billion, three hundred twenty-three million, two hundred two thousand, one hundred twenty".