130440000013344 has 144 divisors (see below), whose sum is σ = 423933774945408. Its totient is φ = 37268239574016.

The previous prime is 130440000013321. The next prime is 130440000013439. The reversal of 130440000013344 is 443310000044031.

130440000013344 is a `hidden beast` number, since 1 + 304 + 4 + 0 + 0 + 0 + 0 + 0 + 13 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307948069 + ... + 308371355.

It is an arithmetic number, because the mean of its divisors is an integer number (2943984548232).

Almost surely, 2^{130440000013344} is an apocalyptic number.

130440000013344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130440000013344 is an abundant number, since it is smaller than the sum of its proper divisors (293493774932064).

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

130440000013344 is a wasteful number, since it uses less digits than its factorization.

130440000013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576167 (or 576156 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 130440000013344 its reverse (443310000044031), we get a palindrome (573750000057375).

The spelling of 130440000013344 in words is "one hundred thirty trillion, four hundred forty billion, thirteen thousand, three hundred forty-four".