2011333303313 has 16 divisors (see below), whose sum is σ = 2074265226000. Its totient is φ = 1948858797312.

The previous prime is 2011333303303. The next prime is 2011333303321. The reversal of 2011333303313 is 3133033331102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 303003649 + 2011030299664 = 17407^2 + 1418108^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011333303313 - 2¹⁶ = 2011333237777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011333303303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23735423 + ... + 23820011.

It is an arithmetic number, because the mean of its divisors is an integer number (129641576625).

Almost surely, 2^{2011333303313} is an apocalyptic number.

It is an amenable number.

2011333303313 is a deficient number, since it is larger than the sum of its proper divisors (62931922687).

2011333303313 is a wasteful number, since it uses less digits than its factorization.

2011333303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87284.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 2011333303313 its reverse (3133033331102), we get a palindrome (5144366634415).

The spelling of 2011333303313 in words is "two trillion, eleven billion, three hundred thirty-three million, three hundred three thousand, three hundred thirteen".