301002000200113 has 2 divisors, whose sum is σ = 301002000200114. Its totient is φ = 301002000200112.

The previous prime is 301002000200071. The next prime is 301002000200159. The reversal of 301002000200113 is 311002000200103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242521537048609 + 58480463151504 = 15573103^2 + 7647252^2 .

It is a cyclic number.

It is not a de Polignac number, because 301002000200113 - 2³³ = 300993410265521 is a prime.

It is a super-3 number, since 3×301002000200113³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301002000200093 and 301002000200102.

It is not a weakly prime, because it can be changed into another prime (301002000200183) 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 as a sum of consecutive naturals, namely, 150501000100056 + 150501000100057.

It is an arithmetic number, because the mean of its divisors is an integer number (150501000100057).

Almost surely, 2^{301002000200113} is an apocalyptic number.

It is an amenable number.

301002000200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

301002000200113 is an equidigital number, since it uses as much as digits as its factorization.

301002000200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 301002000200113 its reverse (311002000200103), we get a palindrome (612004000400216).

The spelling of 301002000200113 in words is "three hundred one trillion, two billion, two hundred thousand, one hundred thirteen".