3001041331121 has 2 divisors, whose sum is σ = 3001041331122. Its totient is φ = 3001041331120.

The previous prime is 3001041331069. The next prime is 3001041331181. The reversal of 3001041331121 is 1211331401003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2926477383025 + 74563948096 = 1710695^2 + 273064^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001041331121 - 2³⁴ = 2983861461937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3001041331093 and 3001041331102.

It is not a weakly prime, because it can be changed into another prime (3001041331181) by changing a digit.

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 as a sum of consecutive naturals, namely, 1500520665560 + 1500520665561.

It is an arithmetic number, because the mean of its divisors is an integer number (1500520665561).

Almost surely, 2^{3001041331121} is an apocalyptic number.

It is an amenable number.

3001041331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001041331121 is an equidigital number, since it uses as much as digits as its factorization.

3001041331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3001041331121 its reverse (1211331401003), we get a palindrome (4212372732124).

The spelling of 3001041331121 in words is "three trillion, one billion, forty-one million, three hundred thirty-one thousand, one hundred twenty-one".