32113101130200 has 288 divisors, whose sum is σ = 108098339076000. Its totient is φ = 8543508602880.

The previous prime is 32113101130193. The next prime is 32113101130261. The reversal of 32113101130200 is 203110131123.

32113101130200 is a `hidden beast` number, since 3 + 21 + 1 + 310 + 1 + 130 + 200 = 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, 4198335976 + ... + 4198343624.

It is an arithmetic number, because the mean of its divisors is an integer number (375341455125).

Almost surely, 2^{32113101130200} is an apocalyptic number.

32113101130200 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 32113101130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54049169538000).

32113101130200 is an abundant number, since it is smaller than the sum of its proper divisors (75985237945800).

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

32113101130200 is a wasteful number, since it uses less digits than its factorization.

32113101130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32113101130200 its reverse (203110131123), we get a palindrome (32316211261323).

The spelling of 32113101130200 in words is "thirty-two trillion, one hundred thirteen billion, one hundred one million, one hundred thirty thousand, two hundred".