130971150305280 has 1536 divisors, whose sum is σ = 513770729472000. Its totient is φ = 31500459048960.

The previous prime is 130971150305273. The next prime is 130971150305327. The reversal of 130971150305280 is 82503051179031.

130971150305280 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 11 + 50 + 305 + 280 = 666.

130971150305280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26943250050 + ... + 26943254910.

It is an arithmetic number, because the mean of its divisors is an integer number (334486152000).

Almost surely, 2^{130971150305280} is an apocalyptic number.

130971150305280 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 130971150305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256885364736000).

130971150305280 is an abundant number, since it is smaller than the sum of its proper divisors (382799579166720).

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

130971150305280 is a wasteful number, since it uses less digits than its factorization.

130971150305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 130971150305280 in words is "one hundred thirty trillion, nine hundred seventy-one billion, one hundred fifty million, three hundred five thousand, two hundred eighty".