130344105024 has 315 divisors, whose sum is σ = 437274213207. Its totient is φ = 37119866112.

The previous prime is 130344104959. The next prime is 130344105029. The reversal of 130344105024 is 420501443031.

It is a happy number.

The square root of 130344105024 is 361032.

It is a perfect power (a square), and thus also a powerful number.

130344105024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130344105029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 424573479 + ... + 424573785.

Almost surely, 2^130344105024 is an apocalyptic number.

130344105024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130344105024 is the 361032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130344105024

130344105024 is an abundant number, since it is smaller than the sum of its proper divisors (306930108183).

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

130344105024 is an frugal number, since it uses more digits than its factorization.

130344105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 130344105024 its reverse (420501443031), we get a palindrome (550845548055).

The spelling of 130344105024 in words is "one hundred thirty billion, three hundred forty-four million, one hundred five thousand, twenty-four".