201331241300 has 288 divisors, whose sum is σ = 524141619456. Its totient is φ = 65691648000.

The previous prime is 201331241291. The next prime is 201331241317. The reversal of 201331241300 is 3142133102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314088980 + ... + 314089620.

Almost surely, 2^201331241300 is an apocalyptic number.

201331241300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 448699×448700.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201331241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262070809728).

201331241300 is an abundant number, since it is smaller than the sum of its proper divisors (322810378156).

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

201331241300 is a wasteful number, since it uses less digits than its factorization.

201331241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201331241300 its reverse (3142133102), we get a palindrome (204473374402).

The spelling of 201331241300 in words is "two hundred one billion, three hundred thirty-one million, two hundred forty-one thousand, three hundred".