13212013 has 2 divisors, whose sum is σ = 13212014. Its totient is φ = 13212012.

The previous prime is 13212007. The next prime is 13212053. The reversal of 13212013 is 31021231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12369289 + 842724 = 3517^2 + 918^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212013 - 2¹³ = 13203821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13211984 and 13212002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13212053) 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, 6606006 + 6606007.

It is an arithmetic number, because the mean of its divisors is an integer number (6606007).

Almost surely, 2^13212013 is an apocalyptic number.

It is an amenable number.

13212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212013 is an equidigital number, since it uses as much as digits as its factorization.

13212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13212013 is about 3634.8332836597. The cubic root of 13212013 is about 236.4048220458.

Adding to 13212013 its reverse (31021231), we get a palindrome (44233244).

The spelling of 13212013 in words is "thirteen million, two hundred twelve thousand, thirteen".