11011011011311 has 2 divisors, whose sum is σ = 11011011011312. Its totient is φ = 11011011011310.

The previous prime is 11011011011291. The next prime is 11011011011359. The reversal of 11011011011311 is 11311011011011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11011011011311 - 2¹⁵ = 11011010978543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011011011291 and 11011011011300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011011018311) 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, 5505505505655 + 5505505505656.

It is an arithmetic number, because the mean of its divisors is an integer number (5505505505656).

Almost surely, 2^{11011011011311} is an apocalyptic number.

11011011011311 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011011011311 is an equidigital number, since it uses as much as digits as its factorization.

11011011011311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 11011011011311 its reverse (11311011011011), we get a palindrome (22322022022322).

The spelling of 11011011011311 in words is "eleven trillion, eleven billion, eleven million, eleven thousand, three hundred eleven".