2013218329 has 2 divisors, whose sum is σ = 2013218330. Its totient is φ = 2013218328.

The previous prime is 2013218279. The next prime is 2013218341. The reversal of 2013218329 is 9238123102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1668559104 + 344659225 = 40848^2 + 18565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013218329 - 2¹¹ = 2013216281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013218329.

It is not a weakly prime, because it can be changed into another prime (2013218029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006609164 + 1006609165.

It is an arithmetic number, because the mean of its divisors is an integer number (1006609165).

Almost surely, 2^2013218329 is an apocalyptic number.

It is an amenable number.

2013218329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013218329 is an equidigital number, since it uses as much as digits as its factorization.

2013218329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2013218329 is about 44868.9015800476. The cubic root of 2013218329 is about 1262.6906324431.

The spelling of 2013218329 in words is "two billion, thirteen million, two hundred eighteen thousand, three hundred twenty-nine".