201301331332200 has 192 divisors, whose sum is σ = 681205732185600. Its totient is φ = 48768693369600.

The previous prime is 201301331332183. The next prime is 201301331332229. The reversal of 201301331332200 is 2233133103102.

It is a super-2 number, since 2×201301331332200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 300391 + ... + 20067209.

It is an arithmetic number, because the mean of its divisors is an integer number (3547946521800).

Almost surely, 2^{201301331332200} is an apocalyptic number.

201301331332200 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 201301331332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340602866092800).

201301331332200 is an abundant number, since it is smaller than the sum of its proper divisors (479904400853400).

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

201301331332200 is a wasteful number, since it uses less digits than its factorization.

201301331332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19768392 (or 19768383 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 201301331332200 its reverse (2233133103102), we get a palindrome (203534464435302).

The spelling of 201301331332200 in words is "two hundred one trillion, three hundred one billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred".