213712013 has 2 divisors, whose sum is σ = 213712014. Its totient is φ = 213712012.

The previous prime is 213711997. The next prime is 213712033. The reversal of 213712013 is 310217312.

It is an a-pointer prime, because the next prime (213712033) can be obtained adding 213712013 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198866404 + 14845609 = 14102^2 + 3853^2 .

It is a cyclic number.

It is not a de Polignac number, because 213712013 - 2⁴ = 213711997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213712033) 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, 106856006 + 106856007.

It is an arithmetic number, because the mean of its divisors is an integer number (106856007).

Almost surely, 2^213712013 is an apocalyptic number.

It is an amenable number.

213712013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213712013 is an equidigital number, since it uses as much as digits as its factorization.

213712013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 213712013 is about 14618.8923315004. The cubic root of 213712013 is about 597.8739690705.

Adding to 213712013 its reverse (310217312), we get a palindrome (523929325).

The spelling of 213712013 in words is "two hundred thirteen million, seven hundred twelve thousand, thirteen".