32313201020100 has 1944 divisors, whose sum is σ = 141517156697280. Its totient is φ = 6029535283200.

The previous prime is 32313201020071. The next prime is 32313201020101. The reversal of 32313201020100 is 102010231323.

32313201020100 is a `hidden beast` number, since 3 + 231 + 320 + 10 + 2 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32313201020101) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 4766658511 + ... + 4766665289.

Almost surely, 2^{32313201020100} is an apocalyptic number.

32313201020100 is a gapful number since it is divisible by the number (30) 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 32313201020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70758578348640).

32313201020100 is an abundant number, since it is smaller than the sum of its proper divisors (109203955677180).

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

32313201020100 is a wasteful number, since it uses less digits than its factorization.

32313201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32313201020100 its reverse (102010231323), we get a palindrome (32415211251423).

The spelling of 32313201020100 in words is "thirty-two trillion, three hundred thirteen billion, two hundred one million, twenty thousand, one hundred".