130021300100 has 72 divisors (see below), whose sum is σ = 286154138088. Its totient is φ = 51270451200.

The previous prime is 130021300063. The next prime is 130021300111. The reversal of 130021300100 is 1003120031.

It can be written as a sum of positive squares in 12 ways, for example, as 1151787844 + 128869512256 = 33938^2 + 358984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22196372 + ... + 22202228.

It is an arithmetic number, because the mean of its divisors is an integer number (3974363029).

Almost surely, 2^130021300100 is an apocalyptic number.

130021300100 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 130021300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143077069044).

130021300100 is an abundant number, since it is smaller than the sum of its proper divisors (156132837988).

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

130021300100 is a wasteful number, since it uses less digits than its factorization.

130021300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 130021300100 its reverse (1003120031), we get a palindrome (131024420131).

The spelling of 130021300100 in words is "one hundred thirty billion, twenty-one million, three hundred thousand, one hundred".