133010413233200 has 120 divisors (see below), whose sum is σ = 320179280138640. Its totient is φ = 53100715852800.

The previous prime is 133010413233193. The next prime is 133010413233209. The reversal of 133010413233200 is 2332314010331.

It is a self number, because there is not a number n which added to its sum of digits gives 133010413233200.

It is not an unprimeable number, because it can be changed into a prime (133010413233209) 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, 618324062 + ... + 618539138.

It is an arithmetic number, because the mean of its divisors is an integer number (2668160667822).

Almost surely, 2^{133010413233200} is an apocalyptic number.

133010413233200 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 133010413233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160089640069320).

133010413233200 is an abundant number, since it is smaller than the sum of its proper divisors (187168866905440).

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

133010413233200 is a wasteful number, since it uses less digits than its factorization.

133010413233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218095 (or 218084 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 133010413233200 its reverse (2332314010331), we get a palindrome (135342727243531).

The spelling of 133010413233200 in words is "one hundred thirty-three trillion, ten billion, four hundred thirteen million, two hundred thirty-three thousand, two hundred".