130031320320 has 864 divisors, whose sum is σ = 514263859200. Its totient is φ = 30047846400.

The previous prime is 130031320301. The next prime is 130031320361. The reversal of 130031320320 is 23023130031.

130031320320 is a `hidden beast` number, since 1 + 30 + 0 + 313 + 2 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130031320293 and 130031320302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310337071 + ... + 310337489.

It is an arithmetic number, because the mean of its divisors is an integer number (595212800).

Almost surely, 2^130031320320 is an apocalyptic number.

130031320320 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 130031320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257131929600).

130031320320 is an abundant number, since it is smaller than the sum of its proper divisors (384232538880).

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

130031320320 is a wasteful number, since it uses less digits than its factorization.

130031320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130031320320 its reverse (23023130031), we get a palindrome (153054450351).

The spelling of 130031320320 in words is "one hundred thirty billion, thirty-one million, three hundred twenty thousand, three hundred twenty".