11010101311 has 16 divisors (see below), whose sum is σ = 12624761088. Its totient is φ = 9504088000.

The previous prime is 11010101293. The next prime is 11010101327. The reversal of 11010101311 is 11310101011.

It is not a de Polignac number, because 11010101311 - 2⁷ = 11010101183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124165 + ... + 193486.

It is an arithmetic number, because the mean of its divisors is an integer number (789047568).

Almost surely, 2^11010101311 is an apocalyptic number.

11010101311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11010101311 is a deficient number, since it is larger than the sum of its proper divisors (1614659777).

11010101311 is a wasteful number, since it uses less digits than its factorization.

11010101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317822.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 11010101311 its reverse (11310101011), we get a palindrome (22320202322).

The spelling of 11010101311 in words is "eleven billion, ten million, one hundred one thousand, three hundred eleven".