32100130400 has 216 divisors, whose sum is σ = 85303993320. Its totient is φ = 11789905920.

The previous prime is 32100130339. The next prime is 32100130429. The reversal of 32100130400 is 403100123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31501091 + ... + 31502109.

It is an arithmetic number, because the mean of its divisors is an integer number (394925895).

Almost surely, 2^32100130400 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 32100130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42651996660).

32100130400 is an abundant number, since it is smaller than the sum of its proper divisors (53203862920).

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

32100130400 is a wasteful number, since it uses less digits than its factorization.

32100130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 32100130400 its reverse (403100123), we get a palindrome (32503230523).

The spelling of 32100130400 in words is "thirty-two billion, one hundred million, one hundred thirty thousand, four hundred".