32100320011320 has 768 divisors, whose sum is σ = 118922336870400. Its totient is φ = 7695510451200.

The previous prime is 32100320011301. The next prime is 32100320011369. The reversal of 32100320011320 is 2311002300123.

32100320011320 is a `hidden beast` number, since 3 + 2 + 10 + 0 + 320 + 0 + 11 + 320 = 666.

32100320011320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 32100320011293 and 32100320011302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9466326825 + ... + 9466330215.

It is an arithmetic number, because the mean of its divisors is an integer number (154846792800).

Almost surely, 2^{32100320011320} is an apocalyptic number.

32100320011320 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 32100320011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59461168435200).

32100320011320 is an abundant number, since it is smaller than the sum of its proper divisors (86822016859080).

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

32100320011320 is a wasteful number, since it uses less digits than its factorization.

32100320011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4196 counting only the distinct ones).

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

Adding to 32100320011320 its reverse (2311002300123), we get a palindrome (34411322311443).

The spelling of 32100320011320 in words is "thirty-two trillion, one hundred billion, three hundred twenty million, eleven thousand, three hundred twenty".