213330112013 has 2 divisors, whose sum is σ = 213330112014. Its totient is φ = 213330112012.

The previous prime is 213330111997. The next prime is 213330112031. The reversal of 213330112013 is 310211033312.

Together with next prime (213330112031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128624084164 + 84706027849 = 358642^2 + 291043^2 .

It is a cyclic number.

It is not a de Polignac number, because 213330112013 - 2⁴ = 213330111997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213330112043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106665056006 + 106665056007.

It is an arithmetic number, because the mean of its divisors is an integer number (106665056007).

Almost surely, 2^213330112013 is an apocalyptic number.

It is an amenable number.

213330112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213330112013 is an equidigital number, since it uses as much as digits as its factorization.

213330112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213330112013 its reverse (310211033312), we get a palindrome (523541145325).

The spelling of 213330112013 in words is "two hundred thirteen billion, three hundred thirty million, one hundred twelve thousand, thirteen".