2011133433313 has 2 divisors, whose sum is σ = 2011133433314. Its totient is φ = 2011133433312.

The previous prime is 2011133433293. The next prime is 2011133433317. The reversal of 2011133433313 is 3133343311102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1717431218064 + 293702215249 = 1310508^2 + 541943^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011133433313 - 2²⁵ = 2011099878881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011133433317) 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 as a sum of consecutive naturals, namely, 1005566716656 + 1005566716657.

It is an arithmetic number, because the mean of its divisors is an integer number (1005566716657).

Almost surely, 2^{2011133433313} is an apocalyptic number.

It is an amenable number.

2011133433313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011133433313 is an equidigital number, since it uses as much as digits as its factorization.

2011133433313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 2011133433313 its reverse (3133343311102), we get a palindrome (5144476744415).

The spelling of 2011133433313 in words is "two trillion, eleven billion, one hundred thirty-three million, four hundred thirty-three thousand, three hundred thirteen".