132101433322300 has 144 divisors (see below), whose sum is σ = 319466364719040. Its totient is φ = 47077724252160.

The previous prime is 132101433322279. The next prime is 132101433322301. The reversal of 132101433322300 is 3223334101231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101433322301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108839584 + ... + 110046616.

It is an arithmetic number, because the mean of its divisors is an integer number (2218516421660).

Almost surely, 2^{132101433322300} is an apocalyptic number.

132101433322300 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 132101433322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159733182359520).

132101433322300 is an abundant number, since it is smaller than the sum of its proper divisors (187364931396740).

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

132101433322300 is a wasteful number, since it uses less digits than its factorization.

132101433322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209992 (or 1209985 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 132101433322300 its reverse (3223334101231), we get a palindrome (135324767423531).

The spelling of 132101433322300 in words is "one hundred thirty-two trillion, one hundred one billion, four hundred thirty-three million, three hundred twenty-two thousand, three hundred".