32131221011100 has 216 divisors, whose sum is σ = 101731121947728. Its totient is φ = 8481786624000.

The previous prime is 32131221011081. The next prime is 32131221011143. The reversal of 32131221011100 is 111012213123.

32131221011100 is a `hidden beast` number, since 32 + 1 + 312 + 210 + 1 + 110 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 489645492 + ... + 489711108.

Almost surely, 2^{32131221011100} is an apocalyptic number.

32131221011100 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 32131221011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50865560973864).

32131221011100 is an abundant number, since it is smaller than the sum of its proper divisors (69599900936628).

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

32131221011100 is a wasteful number, since it uses less digits than its factorization.

32131221011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71125 (or 71115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 32131221011100 its reverse (111012213123), we get a palindrome (32242233224223).

The spelling of 32131221011100 in words is "thirty-two trillion, one hundred thirty-one billion, two hundred twenty-one million, eleven thousand, one hundred".