201331330100 has 72 divisors (see below), whose sum is σ = 448974909600. Its totient is φ = 78307413120.

The previous prime is 201331330091. The next prime is 201331330129. The reversal of 201331330100 is 1033133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6270287 + ... + 6302313.

Almost surely, 2^201331330100 is an apocalyptic number.

201331330100 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 201331330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224487454800).

201331330100 is an abundant number, since it is smaller than the sum of its proper divisors (247643579500).

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

201331330100 is a wasteful number, since it uses less digits than its factorization.

201331330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33777 (or 33770 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 201331330100 its reverse (1033133102), we get a palindrome (202364463202).

The spelling of 201331330100 in words is "two hundred one billion, three hundred thirty-one million, three hundred thirty thousand, one hundred".