13123057 has 2 divisors, whose sum is σ = 13123058. Its totient is φ = 13123056.

The previous prime is 13123039. The next prime is 13123063. The reversal of 13123057 is 75032131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9678321 + 3444736 = 3111^2 + 1856^2 .

It is an emirp because it is prime and its reverse (75032131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123057 - 2¹⁹ = 12598769 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13123007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561528 + 6561529.

It is an arithmetic number, because the mean of its divisors is an integer number (6561529).

Almost surely, 2^13123057 is an apocalyptic number.

It is an amenable number.

13123057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123057 is an equidigital number, since it uses as much as digits as its factorization.

13123057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13123057 is about 3622.5760171458. The cubic root of 13123057 is about 235.8730584675.

Adding to 13123057 its reverse (75032131), we get a palindrome (88155188).

The spelling of 13123057 in words is "thirteen million, one hundred twenty-three thousand, fifty-seven".