2013202013 has 2 divisors, whose sum is σ = 2013202014. Its totient is φ = 2013202012.

The previous prime is 2013202001. The next prime is 2013202021. The reversal of 2013202013 is 3102023102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1633614724 + 379587289 = 40418^2 + 19483^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013202013 - 2¹² = 2013197917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013202063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006601006 + 1006601007.

It is an arithmetic number, because the mean of its divisors is an integer number (1006601007).

Almost surely, 2^2013202013 is an apocalyptic number.

It is an amenable number.

2013202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013202013 is an equidigital number, since it uses as much as digits as its factorization.

2013202013 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 2013202013 is about 44868.7197610986. The cubic root of 2013202013 is about 1262.6872213019.

Adding to 2013202013 its reverse (3102023102), we get a palindrome (5115225115).

The spelling of 2013202013 in words is "two billion, thirteen million, two hundred two thousand, thirteen".