13006421 has 2 divisors, whose sum is σ = 13006422. Its totient is φ = 13006420.

The previous prime is 13006387. The next prime is 13006423. The reversal of 13006421 is 12460031.

13006421 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7365796 + 5640625 = 2714^2 + 2375^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006421 - 2¹⁰ = 13005397 is a prime.

Together with 13006423, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13006421.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006423) 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, 6503210 + 6503211.

It is an arithmetic number, because the mean of its divisors is an integer number (6503211).

Almost surely, 2^13006421 is an apocalyptic number.

It is an amenable number.

13006421 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006421 is an equidigital number, since it uses as much as digits as its factorization.

13006421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13006421 is about 3606.4415980298. The cubic root of 13006421 is about 235.1721750156.

Adding to 13006421 its reverse (12460031), we get a palindrome (25466452).

The spelling of 13006421 in words is "thirteen million, six thousand, four hundred twenty-one".