132103531232100 has 432 divisors, whose sum is σ = 433693435593600. Its totient is φ = 33569901066240.

The previous prime is 132103531232063. The next prime is 132103531232117. The reversal of 132103531232100 is 1232135301231.

132103531232100 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 3 + 531 + 23 + 2 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7476562066 + ... + 7476579734.

It is an arithmetic number, because the mean of its divisors is an integer number (1003919989800).

Almost surely, 2^{132103531232100} is an apocalyptic number.

132103531232100 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 132103531232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216846717796800).

132103531232100 is an abundant number, since it is smaller than the sum of its proper divisors (301589904361500).

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

132103531232100 is a wasteful number, since it uses less digits than its factorization.

132103531232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19044 (or 19034 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 132103531232100 its reverse (1232135301231), we get a palindrome (133335666533331).

The spelling of 132103531232100 in words is "one hundred thirty-two trillion, one hundred three billion, five hundred thirty-one million, two hundred thirty-two thousand, one hundred".