133130112122232 has 128 divisors (see below), whose sum is σ = 371176614432000. Its totient is φ = 44212472922240.

The previous prime is 133130112122141. The next prime is 133130112122233. The reversal of 133130112122232 is 232221211031331.

133130112122232 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 301 + 1 + 2 + 122 + 232 = 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 = 133130112122196 and 133130112122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130112122233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73296007 + ... + 75090377.

It is an arithmetic number, because the mean of its divisors is an integer number (2899817300250).

Almost surely, 2^{133130112122232} is an apocalyptic number.

133130112122232 is a gapful number since it is divisible by the number (12) 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 133130112122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185588307216000).

133130112122232 is an abundant number, since it is smaller than the sum of its proper divisors (238046502309768).

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

133130112122232 is a wasteful number, since it uses less digits than its factorization.

133130112122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795658 (or 1795648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133130112122232 its reverse (232221211031331), we get a palindrome (365351323153563).

The spelling of 133130112122232 in words is "one hundred thirty-three trillion, one hundred thirty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred thirty-two".