32300331020100 has 1152 divisors, whose sum is σ = 124747975618560. Its totient is φ = 7066662912000.

The previous prime is 32300331020029. The next prime is 32300331020129. The reversal of 32300331020100 is 102013300323.

32300331020100 is a `hidden beast` number, since 3 + 2 + 300 + 331 + 0 + 20 + 10 + 0 = 666.

It is a super-2 number, since 2×32300331020100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3108485905 + ... + 3108496295.

It is an arithmetic number, because the mean of its divisors is an integer number (108288173280).

Almost surely, 2^{32300331020100} is an apocalyptic number.

32300331020100 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 32300331020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62373987809280).

32300331020100 is an abundant number, since it is smaller than the sum of its proper divisors (92447644598460).

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

32300331020100 is a wasteful number, since it uses less digits than its factorization.

32300331020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32300331020100 its reverse (102013300323), we get a palindrome (32402344320423).

The spelling of 32300331020100 in words is "thirty-two trillion, three hundred billion, three hundred thirty-one million, twenty thousand, one hundred".