130321290640320 has 1680 divisors, whose sum is σ = 536800049900928. Its totient is φ = 29891425075200.

The previous prime is 130321290640297. The next prime is 130321290640403. The reversal of 130321290640320 is 23046092123031.

130321290640320 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 1 + 2 + 9 + 0 + 640 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7521275497 + ... + 7521292823.

Almost surely, 2^{130321290640320} is an apocalyptic number.

130321290640320 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 130321290640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268400024950464).

130321290640320 is an abundant number, since it is smaller than the sum of its proper divisors (406478759260608).

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

130321290640320 is a wasteful number, since it uses less digits than its factorization.

130321290640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17500 (or 17468 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 130321290640320 in words is "one hundred thirty trillion, three hundred twenty-one billion, two hundred ninety million, six hundred forty thousand, three hundred twenty".