132305103140100 has 288 divisors, whose sum is σ = 436909526000640. Its totient is φ = 30598489152000.

The previous prime is 132305103140087. The next prime is 132305103140131. The reversal of 132305103140100 is 1041301503231.

132305103140100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26466430 + ... + 31065770.

It is an arithmetic number, because the mean of its divisors is an integer number (1517046965280).

Almost surely, 2^{132305103140100} is an apocalyptic number.

132305103140100 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 132305103140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218454763000320).

132305103140100 is an abundant number, since it is smaller than the sum of its proper divisors (304604422860540).

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

132305103140100 is a wasteful number, since it uses less digits than its factorization.

132305103140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599771 (or 4599764 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 132305103140100 its reverse (1041301503231), we get a palindrome (133346404643331).

The spelling of 132305103140100 in words is "one hundred thirty-two trillion, three hundred five billion, one hundred three million, one hundred forty thousand, one hundred".