130444301304120 has 256 divisors, whose sum is σ = 421358752742400. Its totient is φ = 32185924853760.

The previous prime is 130444301304113. The next prime is 130444301304167. The reversal of 130444301304120 is 21403103444031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 246001917 + ... + 246531603.

It is an arithmetic number, because the mean of its divisors is an integer number (1645932627900).

Almost surely, 2^{130444301304120} is an apocalyptic number.

130444301304120 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 130444301304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210679376371200).

130444301304120 is an abundant number, since it is smaller than the sum of its proper divisors (290914451438280).

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

130444301304120 is a wasteful number, since it uses less digits than its factorization.

130444301304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531758 (or 531754 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130444301304120 its reverse (21403103444031), we get a palindrome (151847404748151).

The spelling of 130444301304120 in words is "one hundred thirty trillion, four hundred forty-four billion, three hundred one million, three hundred four thousand, one hundred twenty".