130241311200 has 1728 divisors, whose sum is σ = 653520172032. Its totient is φ = 23489740800.

The previous prime is 130241311171. The next prime is 130241311201. The reversal of 130241311200 is 2113142031.

130241311200 is a `hidden beast` number, since 130 + 2 + 413 + 1 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130241311201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122521869 + ... + 122522931.

It is an arithmetic number, because the mean of its divisors is an integer number (378194544).

Almost surely, 2^130241311200 is an apocalyptic number.

130241311200 is a gapful number since it is divisible by the number (10) 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 130241311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326760086016).

130241311200 is an abundant number, since it is smaller than the sum of its proper divisors (523278860832).

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

130241311200 is a wasteful number, since it uses less digits than its factorization.

130241311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130241311200 its reverse (2113142031), we get a palindrome (132354453231).

The spelling of 130241311200 in words is "one hundred thirty billion, two hundred forty-one million, three hundred eleven thousand, two hundred".