2013101213 has 2 divisors, whose sum is σ = 2013101214. Its totient is φ = 2013101212.

The previous prime is 2013101203. The next prime is 2013101221. The reversal of 2013101213 is 3121013102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1975180249 + 37920964 = 44443^2 + 6158^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013101213 - 2²⁴ = 1996323997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006550606 + 1006550607.

It is an arithmetic number, because the mean of its divisors is an integer number (1006550607).

Almost surely, 2^2013101213 is an apocalyptic number.

It is an amenable number.

2013101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013101213 is an equidigital number, since it uses as much as digits as its factorization.

2013101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2013101213 is about 44867.5964700584. The cubic root of 2013101213 is about 1262.6661469147. Note that the first 3 decimals are identical.

Adding to 2013101213 its reverse (3121013102), we get a palindrome (5134114315).

The spelling of 2013101213 in words is "two billion, thirteen million, one hundred one thousand, two hundred thirteen".