212032013 has 2 divisors, whose sum is σ = 212032014. Its totient is φ = 212032012.

The previous prime is 212032003. The next prime is 212032061. The reversal of 212032013 is 310230212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196056004 + 15976009 = 14002^2 + 3997^2 .

It is a cyclic number.

It is not a de Polignac number, because 212032013 - 2¹⁰ = 212030989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212032003) 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, 106016006 + 106016007.

It is an arithmetic number, because the mean of its divisors is an integer number (106016007).

Almost surely, 2^212032013 is an apocalyptic number.

It is an amenable number.

212032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212032013 is an equidigital number, since it uses as much as digits as its factorization.

212032013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 212032013 is about 14561.3190679966. The cubic root of 212032013 is about 596.3032076188.

Adding to 212032013 its reverse (310230212), we get a palindrome (522262225).

The spelling of 212032013 in words is "two hundred twelve million, thirty-two thousand, thirteen".