130580671296100 has 81 divisors (see below), whose sum is σ = 285448005992331. Its totient is φ = 51850188993600.

The previous prime is 130580671296083. The next prime is 130580671296113. The reversal of 130580671296100 is 1692176085031.

The square root of 130580671296100 is 11427190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19826768831076 + 110753902465024 = 4452726^2 + 10523968^2 .

It is a super-2 number, since 2×130580671296100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15883789990 + ... + 15883798210.

Almost surely, 2^{130580671296100} is an apocalyptic number.

130580671296100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130580671296100 is the 11427190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130580671296100

130580671296100 is an abundant number, since it is smaller than the sum of its proper divisors (154867334696231).

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

130580671296100 is an frugal number, since it uses more digits than its factorization.

130580671296100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16734 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 130580671296100 in words is "one hundred thirty trillion, five hundred eighty billion, six hundred seventy-one million, two hundred ninety-six thousand, one hundred".