132013201320132 has 192 divisors, whose sum is σ = 363306983042304. Its totient is φ = 36863994101760.

The previous prime is 132013201320131. The next prime is 132013201320233. The reversal of 132013201320132 is 231023102310231.

132013201320132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

132013201320132 is a modest number, since divided by 13201320132 gives 132 as remainder.

It is not an unprimeable number, because it can be changed into a prime (132013201320131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19501068 + ... + 25383420.

It is an arithmetic number, because the mean of its divisors is an integer number (1892223870012).

Almost surely, 2^{132013201320132} is an apocalyptic number.

132013201320132 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 132013201320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181653491521152).

132013201320132 is an abundant number, since it is smaller than the sum of its proper divisors (231293781722172).

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

132013201320132 is a wasteful number, since it uses less digits than its factorization.

132013201320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882598 (or 5882596 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132013201320132 its reverse (231023102310231), we get a palindrome (363036303630363).

Subtracting 132013201320132 from its reverse (231023102310231), we obtain a palindrome (99009900990099).

The spelling of 132013201320132 in words is "one hundred thirty-two trillion, thirteen billion, two hundred one million, three hundred twenty thousand, one hundred thirty-two".