130393740343776 has 384 divisors, whose sum is σ = 431849862291456. Its totient is φ = 33527243243520.

The previous prime is 130393740343753. The next prime is 130393740343837. The reversal of 130393740343776 is 677343047393031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513139185 + ... + 513393231.

It is an arithmetic number, because the mean of its divisors is an integer number (1124609016384).

Almost surely, 2^{130393740343776} is an apocalyptic number.

130393740343776 is a gapful number since it is divisible by the number (16) 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 130393740343776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215924931145728).

130393740343776 is an abundant number, since it is smaller than the sum of its proper divisors (301456121947680).

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

130393740343776 is a wasteful number, since it uses less digits than its factorization.

130393740343776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255554 (or 255546 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 60.

The spelling of 130393740343776 in words is "one hundred thirty trillion, three hundred ninety-three billion, seven hundred forty million, three hundred forty-three thousand, seven hundred seventy-six".