300131003300013 has 6 divisors (see below), whose sum is σ = 433522560322254. Its totient is φ = 200087335533336.

The previous prime is 300131003299921. The next prime is 300131003300081. The reversal of 300131003300013 is 310003300131003.

300131003300013 is a `hidden beast` number, since 300 + 1 + 31 + 0 + 0 + 330 + 0 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300023207307684 + 107795992329 = 17321178^2 + 328323^2 .

It is not a de Polignac number, because 300131003300013 - 2²⁸ = 300130734864557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300131003300083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16673944627770 + ... + 16673944627787.

It is an arithmetic number, because the mean of its divisors is an integer number (72253760053709).

Almost surely, 2^{300131003300013} is an apocalyptic number.

It is an amenable number.

300131003300013 is a deficient number, since it is larger than the sum of its proper divisors (133391557022241).

300131003300013 is a wasteful number, since it uses less digits than its factorization.

300131003300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33347889255563 (or 33347889255560 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 300131003300013 its reverse (310003300131003), we get a palindrome (610134303431016).

The spelling of 300131003300013 in words is "three hundred trillion, one hundred thirty-one billion, three million, three hundred thousand, thirteen".