201130241300 has 288 divisors, whose sum is σ = 484672978944. Its totient is φ = 72205056000.

The previous prime is 201130241297. The next prime is 201130241309. The reversal of 201130241300 is 3142031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130241309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339173804 + ... + 339174396.

It is an arithmetic number, because the mean of its divisors is an integer number (1682892288).

Almost surely, 2^201130241300 is an apocalyptic number.

201130241300 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 201130241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336489472).

201130241300 is an abundant number, since it is smaller than the sum of its proper divisors (283542737644).

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

201130241300 is a wasteful number, since it uses less digits than its factorization.

201130241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 201130241300 its reverse (3142031102), we get a palindrome (204272272402).

The spelling of 201130241300 in words is "two hundred one billion, one hundred thirty million, two hundred forty-one thousand, three hundred".