130300100100 has 108 divisors (see below), whose sum is σ = 422501903460. Its totient is φ = 33548524800.

The previous prime is 130300100093. The next prime is 130300100123. The reversal of 130300100100 is 1001003031.

It can be written as a sum of positive squares in 6 ways, for example, as 1721918016 + 128578182084 = 41496^2 + 358578^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2470071 + ... + 2522270.

Almost surely, 2^130300100100 is an apocalyptic number.

130300100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130300100100 is an abundant number, since it is smaller than the sum of its proper divisors (292201803360).

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

130300100100 is a wasteful number, since it uses less digits than its factorization.

130300100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992390 (or 4992380 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 130300100100 its reverse (1001003031), we get a palindrome (131301103131).

It can be divided in two parts, 130300 and 100100, that added together give a square (230400 = 480²).

The spelling of 130300100100 in words is "one hundred thirty billion, three hundred million, one hundred thousand, one hundred".