132301033313232 has 320 divisors, whose sum is σ = 404842849113600. Its totient is φ = 36427288289280.

The previous prime is 132301033313209. The next prime is 132301033313279. The reversal of 132301033313232 is 232313330103231.

132301033313232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132301033313232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13671694378 + ... + 13671704054.

It is an arithmetic number, because the mean of its divisors is an integer number (1265133903480).

Almost surely, 2^{132301033313232} is an apocalyptic number.

132301033313232 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 132301033313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202421424556800).

132301033313232 is an abundant number, since it is smaller than the sum of its proper divisors (272541815800368).

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

132301033313232 is a wasteful number, since it uses less digits than its factorization.

132301033313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12254 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 132301033313232 its reverse (232313330103231), we get a palindrome (364614363416463).

The spelling of 132301033313232 in words is "one hundred thirty-two trillion, three hundred one billion, thirty-three million, three hundred thirteen thousand, two hundred thirty-two".