301000513220081 has 2 divisors, whose sum is σ = 301000513220082. Its totient is φ = 301000513220080.

The previous prime is 301000513220063. The next prime is 301000513220131. The reversal of 301000513220081 is 180022315000103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300981381904225 + 19131315856 = 17348815^2 + 138316^2 .

It is a cyclic number.

It is not a de Polignac number, because 301000513220081 - 2¹⁴ = 301000513203697 is a prime.

It is a super-2 number, since 2×301000513220081² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301000513220081.

It is not a weakly prime, because it can be changed into another prime (301000513240081) 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, 150500256610040 + 150500256610041.

It is an arithmetic number, because the mean of its divisors is an integer number (150500256610041).

Almost surely, 2^{301000513220081} is an apocalyptic number.

It is an amenable number.

301000513220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

301000513220081 is an equidigital number, since it uses as much as digits as its factorization.

301000513220081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 301000513220081 its reverse (180022315000103), we get a palindrome (481022828220184).

The spelling of 301000513220081 in words is "three hundred one trillion, five hundred thirteen million, two hundred twenty thousand, eighty-one".