213388013 has 2 divisors, whose sum is σ = 213388014. Its totient is φ = 213388012.

The previous prime is 213388009. The next prime is 213388033. The reversal of 213388013 is 310883312.

213388013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178837129 + 34550884 = 13373^2 + 5878^2 .

It is a cyclic number.

It is not a de Polignac number, because 213388013 - 2² = 213388009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213388033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106694006 + 106694007.

It is an arithmetic number, because the mean of its divisors is an integer number (106694007).

Almost surely, 2^213388013 is an apocalyptic number.

It is an amenable number.

213388013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213388013 is an equidigital number, since it uses as much as digits as its factorization.

213388013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 213388013 is about 14607.8065773065. The cubic root of 213388013 is about 597.5716788712.

The spelling of 213388013 in words is "two hundred thirteen million, three hundred eighty-eight thousand, thirteen".