2011242213313 has 6 divisors (see below), whose sum is σ = 2136509894726. Its totient is φ = 1892933847552.

The previous prime is 2011242213257. The next prime is 2011242213367. The reversal of 2011242213313 is 3133122421102.

It can be written as a sum of positive squares in 3 ways, for example, as 831220594369 + 1180021618944 = 911713^2 + 1086288^2 .

It is not a de Polignac number, because 2011242213313 - 2⁹ = 2011242212801 is a prime.

It is a super-2 number, since 2×2011242213313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011242223313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3479657520 + ... + 3479658097.

Almost surely, 2^{2011242213313} is an apocalyptic number.

It is an amenable number.

2011242213313 is a deficient number, since it is larger than the sum of its proper divisors (125267681413).

2011242213313 is an equidigital number, since it uses as much as digits as its factorization.

2011242213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959315651 (or 6959315634 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2011242213313 its reverse (3133122421102), we get a palindrome (5144364634415).

The spelling of 2011242213313 in words is "two trillion, eleven billion, two hundred forty-two million, two hundred thirteen thousand, three hundred thirteen".