20201332000000 has 252 divisors, whose sum is σ = 53057089610560. Its totient is φ = 7655212800000.

The previous prime is 20201331999923. The next prime is 20201332000001. The reversal of 20201332000000 is 23310202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201332000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75867097 + ... + 76132903.

Almost surely, 2^{20201332000000} is an apocalyptic number.

20201332000000 is a gapful number since it is divisible by the number (20) 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 20201332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26528544805280).

20201332000000 is an abundant number, since it is smaller than the sum of its proper divisors (32855757610560).

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

20201332000000 is an frugal number, since it uses more digits than its factorization.

20201332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265872 (or 265833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20201332000000 its reverse (23310202), we get a palindrome (20201355310202).

The spelling of 20201332000000 in words is "twenty trillion, two hundred one billion, three hundred thirty-two million", and thus it is an aban number.