13123044257 has 2 divisors, whose sum is σ = 13123044258. Its totient is φ = 13123044256.

The previous prime is 13123044173. The next prime is 13123044269. The reversal of 13123044257 is 75244032131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12760865296 + 362178961 = 112964^2 + 19031^2 .

It is an emirp because it is prime and its reverse (75244032131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123044257 - 2¹⁰ = 13123043233 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123044287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561522128 + 6561522129.

It is an arithmetic number, because the mean of its divisors is an integer number (6561522129).

Almost surely, 2^13123044257 is an apocalyptic number.

It is an amenable number.

13123044257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123044257 is an equidigital number, since it uses as much as digits as its factorization.

13123044257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 13123044257 its reverse (75244032131), we get a palindrome (88367076388).

The spelling of 13123044257 in words is "thirteen billion, one hundred twenty-three million, forty-four thousand, two hundred fifty-seven".