213040013 has 2 divisors, whose sum is σ = 213040014. Its totient is φ = 213040012.

The previous prime is 213039997. The next prime is 213040021. The reversal of 213040013 is 310040312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151856329 + 61183684 = 12323^2 + 7822^2 .

It is a cyclic number.

It is not a de Polignac number, because 213040013 - 2⁴ = 213039997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213040013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213040213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106520006 + 106520007.

It is an arithmetic number, because the mean of its divisors is an integer number (106520007).

Almost surely, 2^213040013 is an apocalyptic number.

It is an amenable number.

213040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213040013 is an equidigital number, since it uses as much as digits as its factorization.

213040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213040013 is about 14595.8902777460. The cubic root of 213040013 is about 597.2466557824.

Adding to 213040013 its reverse (310040312), we get a palindrome (523080325).

The spelling of 213040013 in words is "two hundred thirteen million, forty thousand, thirteen".