201321332303000 has 768 divisors, whose sum is σ = 604402725888000. Its totient is φ = 61384377600000.

The previous prime is 201321332302957. The next prime is 201321332303051. The reversal of 201321332303000 is 303233123102.

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, 16433046875 + ... + 16433059125.

It is an arithmetic number, because the mean of its divisors is an integer number (786982716000).

Almost surely, 2^{201321332303000} is an apocalyptic number.

201321332303000 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 201321332303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302201362944000).

201321332303000 is an abundant number, since it is smaller than the sum of its proper divisors (403081393585000).

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

201321332303000 is a wasteful number, since it uses less digits than its factorization.

201321332303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 201321332303000 its reverse (303233123102), we get a palindrome (201624565426102).

The spelling of 201321332303000 in words is "two hundred one trillion, three hundred twenty-one billion, three hundred thirty-two million, three hundred three thousand".