3331044413041 has 2 divisors, whose sum is σ = 3331044413042. Its totient is φ = 3331044413040.

The previous prime is 3331044412987. The next prime is 3331044413089. The reversal of 3331044413041 is 1403144401333.

It is a happy number.

3331044413041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1876297248400 + 1454747164641 = 1369780^2 + 1206129^2 .

It is a cyclic number.

It is not a de Polignac number, because 3331044413041 - 2³³ = 3322454478449 is a prime.

It is a super-2 number, since 2×3331044413041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331044412994 and 3331044413012.

It is not a weakly prime, because it can be changed into another prime (3331044410041) 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, 1665522206520 + 1665522206521.

It is an arithmetic number, because the mean of its divisors is an integer number (1665522206521).

Almost surely, 2^{3331044413041} is an apocalyptic number.

It is an amenable number.

3331044413041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331044413041 is an equidigital number, since it uses as much as digits as its factorization.

3331044413041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 3331044413041 its reverse (1403144401333), we get a palindrome (4734188814374).

The spelling of 3331044413041 in words is "three trillion, three hundred thirty-one billion, forty-four million, four hundred thirteen thousand, forty-one".