2013213033341 has 2 divisors, whose sum is σ = 2013213033342. Its totient is φ = 2013213033340.

The previous prime is 2013213033311. The next prime is 2013213033397. The reversal of 2013213033341 is 1433303123102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1778099570116 + 235113463225 = 1333454^2 + 484885^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013213033341 - 2¹⁴ = 2013213016957 is a prime.

It is a super-2 number, since 2×2013213033341² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013213033341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013213033301) 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, 1006606516670 + 1006606516671.

It is an arithmetic number, because the mean of its divisors is an integer number (1006606516671).

Almost surely, 2^{2013213033341} is an apocalyptic number.

It is an amenable number.

2013213033341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013213033341 is an equidigital number, since it uses as much as digits as its factorization.

2013213033341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 2013213033341 its reverse (1433303123102), we get a palindrome (3446516156443).

The spelling of 2013213033341 in words is "two trillion, thirteen billion, two hundred thirteen million, thirty-three thousand, three hundred forty-one".