13106413 has 2 divisors, whose sum is σ = 13106414. Its totient is φ = 13106412.

The previous prime is 13106411. The next prime is 13106417. The reversal of 13106413 is 31460131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 3108169 = 3162^2 + 1763^2 .

It is a cyclic number.

It is not a de Polignac number, because 13106413 - 2¹ = 13106411 is a prime.

Together with 13106411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553206 + 6553207.

It is an arithmetic number, because the mean of its divisors is an integer number (6553207).

Almost surely, 2^13106413 is an apocalyptic number.

It is an amenable number.

13106413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106413 is an equidigital number, since it uses as much as digits as its factorization.

13106413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13106413 is about 3620.2780279973. The cubic root of 13106413 is about 235.7732968524.

Adding to 13106413 its reverse (31460131), we get a palindrome (44566544).

The spelling of 13106413 in words is "thirteen million, one hundred six thousand, four hundred thirteen".