13114134424441 has 2 divisors, whose sum is σ = 13114134424442. Its totient is φ = 13114134424440.

The previous prime is 13114134424387. The next prime is 13114134424483. The reversal of 13114134424441 is 14442443141131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13106601052416 + 7533372025 = 3620304^2 + 86795^2 .

It is a cyclic number.

It is not a de Polignac number, because 13114134424441 - 2²⁵ = 13114100870009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13114134424441.

It is not a weakly prime, because it can be changed into another prime (13114134424541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6557067212220 + 6557067212221.

It is an arithmetic number, because the mean of its divisors is an integer number (6557067212221).

Almost surely, 2^{13114134424441} is an apocalyptic number.

It is an amenable number.

13114134424441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13114134424441 is an equidigital number, since it uses as much as digits as its factorization.

13114134424441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73728, while the sum is 37.

Adding to 13114134424441 its reverse (14442443141131), we get a palindrome (27556577565572).

The spelling of 13114134424441 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred twenty-four thousand, four hundred forty-one".