132205413321300 has 288 divisors, whose sum is σ = 456087472533504. Its totient is φ = 29191465728000.

The previous prime is 132205413321277. The next prime is 132205413321313. The reversal of 132205413321300 is 3123314502231.

132205413321300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132205413321300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 36270622 + ... + 39748821.

It is an arithmetic number, because the mean of its divisors is an integer number (1583637057408).

Almost surely, 2^{132205413321300} is an apocalyptic number.

132205413321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132205413321300 is an abundant number, since it is smaller than the sum of its proper divisors (323882059212204).

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

132205413321300 is a wasteful number, since it uses less digits than its factorization.

132205413321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76019519 (or 76019512 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 132205413321300 its reverse (3123314502231), we get a palindrome (135328727823531).

The spelling of 132205413321300 in words is "one hundred thirty-two trillion, two hundred five billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred".