130301344434144 has 192 divisors, whose sum is σ = 372531136932864. Its totient is φ = 39639098290176.

The previous prime is 130301344434139. The next prime is 130301344434179. The reversal of 130301344434144 is 441434443103031.

It is a super-2 number, since 2×130301344434144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78490197 + ... + 80133099.

It is an arithmetic number, because the mean of its divisors is an integer number (1940266338192).

Almost surely, 2^{130301344434144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130301344434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186265568466432).

130301344434144 is an abundant number, since it is smaller than the sum of its proper divisors (242229792498720).

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

130301344434144 is a wasteful number, since it uses less digits than its factorization.

130301344434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643649 (or 1643641 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 130301344434144 its reverse (441434443103031), we get a palindrome (571735787537175).

The spelling of 130301344434144 in words is "one hundred thirty trillion, three hundred one billion, three hundred forty-four million, four hundred thirty-four thousand, one hundred forty-four".