32133120300100 has 144 divisors (see below), whose sum is σ = 73898479916800. Its totient is φ = 12094148257920.

The previous prime is 32133120300097. The next prime is 32133120300107. The reversal of 32133120300100 is 100302133123.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (32133120300107) 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, 164976571 + ... + 165171229.

Almost surely, 2^{32133120300100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133120300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36949239958400).

32133120300100 is an abundant number, since it is smaller than the sum of its proper divisors (41765359616700).

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

32133120300100 is a wasteful number, since it uses less digits than its factorization.

32133120300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195282 (or 195275 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 32133120300100 its reverse (100302133123), we get a palindrome (32233422433223).

The spelling of 32133120300100 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred twenty million, three hundred thousand, one hundred".