133010123122200 has 192 divisors, whose sum is σ = 430632049213440. Its totient is φ = 33897790586880.

The previous prime is 133010123122139. The next prime is 133010123122243. The reversal of 133010123122200 is 2221321010331.

133010123122200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133010123122200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 11731689 + ... + 20091111.

It is an arithmetic number, because the mean of its divisors is an integer number (2242875256320).

Almost surely, 2^{133010123122200} is an apocalyptic number.

133010123122200 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 133010123122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215316024606720).

133010123122200 is an abundant number, since it is smaller than the sum of its proper divisors (297621926091240).

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

133010123122200 is a wasteful number, since it uses less digits than its factorization.

133010123122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360618 (or 8360609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133010123122200 its reverse (2221321010331), we get a palindrome (135231444132531).

The spelling of 133010123122200 in words is "one hundred thirty-three trillion, ten billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred".