13075121128829 has 2 divisors, whose sum is σ = 13075121128830. Its totient is φ = 13075121128828.

The previous prime is 13075121128819. The next prime is 13075121128873. The reversal of 13075121128829 is 92882112157031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10789878192025 + 2285242936804 = 3284795^2 + 1511702^2 .

It is an emirp because it is prime and its reverse (92882112157031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13075121128829 is a prime.

It is a super-2 number, since 2×13075121128829² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13075121128819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6537560564414 + 6537560564415.

It is an arithmetic number, because the mean of its divisors is an integer number (6537560564415).

Almost surely, 2^{13075121128829} is an apocalyptic number.

It is an amenable number.

13075121128829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13075121128829 is an equidigital number, since it uses as much as digits as its factorization.

13075121128829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 13075121128829 in words is "thirteen trillion, seventy-five billion, one hundred twenty-one million, one hundred twenty-eight thousand, eight hundred twenty-nine".