130032000100 has 144 divisors (see below), whose sum is σ = 291451845888. Its totient is φ = 50330741760.

The previous prime is 130032000079. The next prime is 130032000149. The reversal of 130032000100 is 1000230031.

It is a super-3 number, since 3×130032000100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 230962419 + ... + 230962981.

It is an arithmetic number, because the mean of its divisors is an integer number (2023971152).

Almost surely, 2^130032000100 is an apocalyptic number.

130032000100 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 130032000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145725922944).

130032000100 is an abundant number, since it is smaller than the sum of its proper divisors (161419845788).

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

130032000100 is a wasteful number, since it uses less digits than its factorization.

130032000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 130032000100 its reverse (1000230031), we get a palindrome (131032230131).

The spelling of 130032000100 in words is "one hundred thirty billion, thirty-two million, one hundred", and thus it is an aban number.