13023013 has 2 divisors, whose sum is σ = 13023014. Its totient is φ = 13023012.

The previous prime is 13022963. The next prime is 13023029. The reversal of 13023013 is 31032031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7059649 + 5963364 = 2657^2 + 2442^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023013 - 2⁹ = 13022501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13022984 and 13023002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13023053) 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, 6511506 + 6511507.

It is an arithmetic number, because the mean of its divisors is an integer number (6511507).

Almost surely, 2^13023013 is an apocalyptic number.

It is an amenable number.

13023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023013 is an equidigital number, since it uses as much as digits as its factorization.

13023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13023013 is about 3608.7411932695. The cubic root of 13023013 is about 235.2721338150.

Adding to 13023013 its reverse (31032031), we get a palindrome (44055044).

The spelling of 13023013 in words is "thirteen million, twenty-three thousand, thirteen".