130344314100000 has 2304 divisors, whose sum is σ = 589776819867648. Its totient is φ = 24323328000000.

The previous prime is 130344314099977. The next prime is 130344314100029. The reversal of 130344314100000 is 1413443031.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11111094135 + ... + 11111105865.

It is an arithmetic number, because the mean of its divisors is an integer number (255979522512).

Almost surely, 2^{130344314100000} is an apocalyptic number.

130344314100000 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 130344314100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294888409933824).

130344314100000 is an abundant number, since it is smaller than the sum of its proper divisors (459432505767648).

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

130344314100000 is a wasteful number, since it uses less digits than its factorization.

130344314100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130344314100000 its reverse (1413443031), we get a palindrome (130345727543031).

The spelling of 130344314100000 in words is "one hundred thirty trillion, three hundred forty-four billion, three hundred fourteen million, one hundred thousand".