32001320010000 has 400 divisors, whose sum is σ = 112718811034368. Its totient is φ = 7756315200000.

The previous prime is 32001320009993. The next prime is 32001320010001. The reversal of 32001320010000 is 1002310023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (32001320010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3000024667 + ... + 3000035333.

Almost surely, 2^{32001320010000} is an apocalyptic number.

32001320010000 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 32001320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56359405517184).

32001320010000 is an abundant number, since it is smaller than the sum of its proper divisors (80717491024368).

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

32001320010000 is a wasteful number, since it uses less digits than its factorization.

32001320010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19800 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 32001320010000 its reverse (1002310023), we get a palindrome (32002322320023).

It can be divided in two parts, 32001 and 320010000, that multiplied together give a square (10240640010000 = 3200100²).

The spelling of 32001320010000 in words is "thirty-two trillion, one billion, three hundred twenty million, ten thousand".