132101032032 has 192 divisors, whose sum is σ = 402648744960. Its totient is φ = 42093983232.

The previous prime is 132101032009. The next prime is 132101032073. The reversal of 132101032032 is 230230101231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132101031996 and 132101032014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708318 + ... + 1783970.

It is an arithmetic number, because the mean of its divisors is an integer number (2097128880).

Almost surely, 2^132101032032 is an apocalyptic number.

132101032032 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 132101032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201324372480).

132101032032 is an abundant number, since it is smaller than the sum of its proper divisors (270547712928).

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

132101032032 is a wasteful number, since it uses less digits than its factorization.

132101032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75762 (or 75748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132101032032 its reverse (230230101231), we get a palindrome (362331133263).

The spelling of 132101032032 in words is "one hundred thirty-two billion, one hundred one million, thirty-two thousand, thirty-two".