2013311333333 has 2 divisors, whose sum is σ = 2013311333334. Its totient is φ = 2013311333332.

The previous prime is 2013311333321. The next prime is 2013311333347. The reversal of 2013311333333 is 3333331133102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2012885612644 + 425720689 = 1418762^2 + 20633^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013311333333 - 2¹⁶ = 2013311267797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013311333296 and 2013311333305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013311333933) 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, 1006655666666 + 1006655666667.

It is an arithmetic number, because the mean of its divisors is an integer number (1006655666667).

Almost surely, 2^{2013311333333} is an apocalyptic number.

It is an amenable number.

2013311333333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013311333333 is an equidigital number, since it uses as much as digits as its factorization.

2013311333333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 2013311333333 its reverse (3333331133102), we get a palindrome (5346642466435).

The spelling of 2013311333333 in words is "two trillion, thirteen billion, three hundred eleven million, three hundred thirty-three thousand, three hundred thirty-three".