132132331310100 has 432 divisors, whose sum is σ = 421794828069888. Its totient is φ = 31912008480000.

The previous prime is 132132331310059. The next prime is 132132331310107. The reversal of 132132331310100 is 1013133231231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132331310107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14534406555 + ... + 14534415645.

Almost surely, 2^{132132331310100} is an apocalyptic number.

132132331310100 is a gapful number since it is divisible by the number (10) 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 132132331310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210897414034944).

132132331310100 is an abundant number, since it is smaller than the sum of its proper divisors (289662496759788).

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

132132331310100 is a wasteful number, since it uses less digits than its factorization.

132132331310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132132331310100 its reverse (1013133231231), we get a palindrome (133145464541331).

The spelling of 132132331310100 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, three hundred thirty-one million, three hundred ten thousand, one hundred".