205132241101332 has 96 divisors (see below), whose sum is σ = 496825501132800. Its totient is φ = 65842356096000.

The previous prime is 205132241101321. The next prime is 205132241101339. The reversal of 205132241101332 is 233101142231502.

205132241101332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205132241101332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132241101339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9007732 + ... + 22167627.

It is an arithmetic number, because the mean of its divisors is an integer number (5175265636800).

Almost surely, 2^{205132241101332} is an apocalyptic number.

It is an amenable number.

205132241101332 is an abundant number, since it is smaller than the sum of its proper divisors (291693260031468).

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

205132241101332 is a wasteful number, since it uses less digits than its factorization.

205132241101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31175617 (or 31175615 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 205132241101332 its reverse (233101142231502), we get a palindrome (438233383332834).

The spelling of 205132241101332 in words is "two hundred five trillion, one hundred thirty-two billion, two hundred forty-one million, one hundred one thousand, three hundred thirty-two".