130328220100 has 81 divisors (see below), whose sum is σ = 306350787477. Its totient is φ = 48103860480.

The previous prime is 130328220089. The next prime is 130328220101. The reversal of 130328220100 is 1022823031.

The square root of 130328220100 is 361010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 128231312836 + 2096907264 = 358094^2 + 45792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130328220101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46929912 + ... + 46932688.

Almost surely, 2^130328220100 is an apocalyptic number.

130328220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130328220100 is the 361010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130328220100

130328220100 is an abundant number, since it is smaller than the sum of its proper divisors (176022567377).

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

130328220100 is an equidigital number, since it uses as much as digits as its factorization.

130328220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 130328220100 by its product of nonzero digits (576), we get a square (75069054777600 = 8664240²).

The spelling of 130328220100 in words is "one hundred thirty billion, three hundred twenty-eight million, two hundred twenty thousand, one hundred".