13125325123441 has 2 divisors, whose sum is σ = 13125325123442. Its totient is φ = 13125325123440.

The previous prime is 13125325123397. The next prime is 13125325123451. The reversal of 13125325123441 is 14432152352131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10615964986225 + 2509360137216 = 3258215^2 + 1584096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13125325123441 is a prime.

It is a super-3 number, since 3×13125325123441³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13125325123441.

It is not a weakly prime, because it can be changed into another prime (13125325123451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562662561720 + 6562662561721.

It is an arithmetic number, because the mean of its divisors is an integer number (6562662561721).

Almost surely, 2^{13125325123441} is an apocalyptic number.

It is an amenable number.

13125325123441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125325123441 is an equidigital number, since it uses as much as digits as its factorization.

13125325123441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 37.

Adding to 13125325123441 its reverse (14432152352131), we get a palindrome (27557477475572).

The spelling of 13125325123441 in words is "thirteen trillion, one hundred twenty-five billion, three hundred twenty-five million, one hundred twenty-three thousand, four hundred forty-one".