2011033331313 has 16 divisors (see below), whose sum is σ = 2689069118400. Its totient is φ = 1336844839680.

The previous prime is 2011033331309. The next prime is 2011033331323. The reversal of 2011033331313 is 3131333301102.

It is not a de Polignac number, because 2011033331313 - 2² = 2011033331309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011033331323) 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 in 15 ways as a sum of consecutive naturals, for example, 4812453 + ... + 5213613.

It is an arithmetic number, because the mean of its divisors is an integer number (168066819900).

Almost surely, 2^{2011033331313} is an apocalyptic number.

It is an amenable number.

2011033331313 is a deficient number, since it is larger than the sum of its proper divisors (678035787087).

2011033331313 is a wasteful number, since it uses less digits than its factorization.

2011033331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405952.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 2011033331313 its reverse (3131333301102), we get a palindrome (5142366632415).

The spelling of 2011033331313 in words is "two trillion, eleven billion, thirty-three million, three hundred thirty-one thousand, three hundred thirteen".