130951630881720 has 576 divisors, whose sum is σ = 484035299748000. Its totient is φ = 30644585072640.

The previous prime is 130951630881689. The next prime is 130951630881761. The reversal of 130951630881720 is 27188036159031.

130951630881720 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 516 + 30 + 88 + 17 + 2 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 8384116071 + ... + 8384131689.

Almost surely, 2^{130951630881720} is an apocalyptic number.

130951630881720 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 130951630881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242017649874000).

130951630881720 is an abundant number, since it is smaller than the sum of its proper divisors (353083668866280).

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

130951630881720 is a wasteful number, since it uses less digits than its factorization.

130951630881720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22324 (or 22306 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 130951630881720 in words is "one hundred thirty trillion, nine hundred fifty-one billion, six hundred thirty million, eight hundred eighty-one thousand, seven hundred twenty".