133200123213330 has 512 divisors, whose sum is σ = 389407324262400. Its totient is φ = 32262394576896.

The previous prime is 133200123213307. The next prime is 133200123213337. The reversal of 133200123213330 is 33312321002331.

133200123213330 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 0 + 1 + 2 + 321 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133200123213294 and 133200123213303.

It is not an unprimeable number, because it can be changed into a prime (133200123213337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48138821607 + ... + 48138824373.

It is an arithmetic number, because the mean of its divisors is an integer number (760561180200).

Almost surely, 2^{133200123213330} is an apocalyptic number.

133200123213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133200123213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194703662131200).

133200123213330 is an abundant number, since it is smaller than the sum of its proper divisors (256207201049070).

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

133200123213330 is a wasteful number, since it uses less digits than its factorization.

133200123213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133200123213330 its reverse (33312321002331), we get a palindrome (166512444215661).

The spelling of 133200123213330 in words is "one hundred thirty-three trillion, two hundred billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred thirty".