130301103032100 has 2592 divisors, whose sum is σ = 579607847390208. Its totient is φ = 23796799488000.

The previous prime is 130301103032077. The next prime is 130301103032101. The reversal of 130301103032100 is 1230301103031.

It is a happy number.

130301103032100 is a `hidden beast` number, since 1 + 3 + 0 + 301 + 10 + 30 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130301103032101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 17233312320 + ... + 17233319880.

Almost surely, 2^{130301103032100} is an apocalyptic number.

130301103032100 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 130301103032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289803923695104).

130301103032100 is an abundant number, since it is smaller than the sum of its proper divisors (449306744358108).

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

130301103032100 is a wasteful number, since it uses less digits than its factorization.

130301103032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130301103032100 its reverse (1230301103031), we get a palindrome (131531404135131).

The spelling of 130301103032100 in words is "one hundred thirty trillion, three hundred one billion, one hundred three million, thirty-two thousand, one hundred".