2013131311 has 2 divisors, whose sum is σ = 2013131312. Its totient is φ = 2013131310.

The previous prime is 2013131297. The next prime is 2013131321. The reversal of 2013131311 is 1131313102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013131311 - 2¹⁵ = 2013098543 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013131321) 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, 1006565655 + 1006565656.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565656).

Almost surely, 2^2013131311 is an apocalyptic number.

2013131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013131311 is an equidigital number, since it uses as much as digits as its factorization.

2013131311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2013131311 is about 44867.9318779014. The cubic root of 2013131311 is about 1262.6724396164.

Adding to 2013131311 its reverse (1131313102), we get a palindrome (3144444413).

The spelling of 2013131311 in words is "two billion, thirteen million, one hundred thirty-one thousand, three hundred eleven".