130020100 has 72 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 44056320.

The previous prime is 130020091. The next prime is 130020101. The reversal of 130020100 is 1020031.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (130020101) 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 23 ways as a sum of consecutive naturals, for example, 61257 + ... + 63343.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^130020100 is an apocalyptic number.

130020100 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 130020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

130020100 is an abundant number, since it is smaller than the sum of its proper divisors (196209020).

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

130020100 is a wasteful number, since it uses less digits than its factorization.

130020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 130020100 is about 11402.6356602322. The cubic root of 130020100 is about 506.6058089031.

Adding to 130020100 its reverse (1020031), we get a palindrome (131040131).

The spelling of 130020100 in words is "one hundred thirty million, twenty thousand, one hundred".