130100302400 has 84 divisors (see below), whose sum is σ = 321268412580. Its totient is φ = 51854745600.

The previous prime is 130100302399. The next prime is 130100302459. The reversal of 130100302400 is 4203001031.

130100302400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 108326464 + 129991975936 = 10408^2 + 360544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304916 + ... + 594284.

Almost surely, 2^130100302400 is an apocalyptic number.

130100302400 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 130100302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160634206290).

130100302400 is an abundant number, since it is smaller than the sum of its proper divisors (191168110180).

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

130100302400 is a wasteful number, since it uses less digits than its factorization.

130100302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289672 (or 289657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130100302400 its reverse (4203001031), we get a palindrome (134303303431).

The spelling of 130100302400 in words is "one hundred thirty billion, one hundred million, three hundred two thousand, four hundred".