130300001300 has 108 divisors (see below), whose sum is σ = 331316974044. Its totient is φ = 44347968000.

The previous prime is 130300001287. The next prime is 130300001387. The reversal of 130300001300 is 3100003031.

It can be written as a sum of positive squares in 6 ways, for example, as 17610882436 + 112689118864 = 132706^2 + 335692^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 574250 + ... + 768350.

Almost surely, 2^130300001300 is an apocalyptic number.

130300001300 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 130300001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165658487022).

130300001300 is an abundant number, since it is smaller than the sum of its proper divisors (201016972744).

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

130300001300 is a wasteful number, since it uses less digits than its factorization.

130300001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194266 (or 194252 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 130300001300 its reverse (3100003031), we get a palindrome (133400004331).

The spelling of 130300001300 in words is "one hundred thirty billion, three hundred million, one thousand, three hundred".