130304401000 has 64 divisors (see below), whose sum is σ = 306013715280. Its totient is φ = 51933484800.

The previous prime is 130304400991. The next prime is 130304401009. The reversal of 130304401000 is 104403031.

It is an interprime number because it is at equal distance from previous prime (130304400991) and next prime (130304401009).

It can be written as a sum of positive squares in 8 ways, for example, as 71470116 + 130232930884 = 8454^2 + 360878^2 .

It is not an unprimeable number, because it can be changed into a prime (130304401009) 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 15 ways as a sum of consecutive naturals, for example, 41794 + ... + 512206.

Almost surely, 2^130304401000 is an apocalyptic number.

130304401000 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 130304401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153006857640).

130304401000 is an abundant number, since it is smaller than the sum of its proper divisors (175709314280).

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

130304401000 is a wasteful number, since it uses less digits than its factorization.

130304401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470711 (or 470697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130304401000 its reverse (104403031), we get a palindrome (130408804031).

The spelling of 130304401000 in words is "one hundred thirty billion, three hundred four million, four hundred one thousand".