32230101100320 has 960 divisors, whose sum is σ = 117710643536640. Its totient is φ = 8301184819200.

The previous prime is 32230101100297. The next prime is 32230101100321. The reversal of 32230101100320 is 2300110103223.

32230101100320 is a `hidden beast` number, since 3 + 2 + 230 + 1 + 0 + 110 + 0 + 320 = 666.

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 = 32230101100293 and 32230101100302.

It is not an unprimeable number, because it can be changed into a prime (32230101100321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15884721066 + ... + 15884723094.

It is an arithmetic number, because the mean of its divisors is an integer number (122615253684).

Almost surely, 2^{32230101100320} is an apocalyptic number.

32230101100320 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 32230101100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58855321768320).

32230101100320 is an abundant number, since it is smaller than the sum of its proper divisors (85480542436320).

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

32230101100320 is a wasteful number, since it uses less digits than its factorization.

32230101100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2454 counting only the distinct ones).

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

Adding to 32230101100320 its reverse (2300110103223), we get a palindrome (34530211203543).

The spelling of 32230101100320 in words is "thirty-two trillion, two hundred thirty billion, one hundred one million, one hundred thousand, three hundred twenty".