13123217 has 2 divisors, whose sum is σ = 13123218. Its totient is φ = 13123216.

The previous prime is 13123211. The next prime is 13123219. The reversal of 13123217 is 71232131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9186961 + 3936256 = 3031^2 + 1984^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123217 is a prime.

Together with 13123219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561608 + 6561609.

It is an arithmetic number, because the mean of its divisors is an integer number (6561609).

Almost surely, 2^13123217 is an apocalyptic number.

It is an amenable number.

13123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123217 is an equidigital number, since it uses as much as digits as its factorization.

13123217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 20.

The square root of 13123217 is about 3622.5981008111. The cubic root of 13123217 is about 235.8740170739.

Adding to 13123217 its reverse (71232131), we get a palindrome (84355348).

It can be divided in two parts, 13123 and 217, that multiplied together give a triangular number (2847691 = T₂₃₈₆).

The spelling of 13123217 in words is "thirteen million, one hundred twenty-three thousand, two hundred seventeen".