3123034211441 has 2 divisors, whose sum is σ = 3123034211442. Its totient is φ = 3123034211440.

The previous prime is 3123034211419. The next prime is 3123034211461. The reversal of 3123034211441 is 1441124303213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2492909421025 + 630124790416 = 1578895^2 + 793804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3123034211441 is a prime.

It is a super-3 number, since 3×3123034211441³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3123034211461) 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, 1561517105720 + 1561517105721.

It is an arithmetic number, because the mean of its divisors is an integer number (1561517105721).

Almost surely, 2^{3123034211441} is an apocalyptic number.

It is an amenable number.

3123034211441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123034211441 is an equidigital number, since it uses as much as digits as its factorization.

3123034211441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 3123034211441 its reverse (1441124303213), we get a palindrome (4564158514654).

The spelling of 3123034211441 in words is "three trillion, one hundred twenty-three billion, thirty-four million, two hundred eleven thousand, four hundred forty-one".