2013123311 has 2 divisors, whose sum is σ = 2013123312. Its totient is φ = 2013123310.

The previous prime is 2013123271. The next prime is 2013123313. The reversal of 2013123311 is 1133213102.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013123311 is a prime.

Together with 2013123313, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013123311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013123313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006561655 + 1006561656.

It is an arithmetic number, because the mean of its divisors is an integer number (1006561656).

Almost surely, 2^2013123311 is an apocalyptic number.

2013123311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013123311 is an equidigital number, since it uses as much as digits as its factorization.

2013123311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2013123311 is about 44867.8427272807. The cubic root of 2013123311 is about 1262.6707670325.

Adding to 2013123311 its reverse (1133213102), we get a palindrome (3146336413).

The spelling of 2013123311 in words is "two billion, thirteen million, one hundred twenty-three thousand, three hundred eleven".