11311311101101 has 16 divisors (see below), whose sum is σ = 12422131384320. Its totient is φ = 10214329642480.

The previous prime is 11311311101099. The next prime is 11311311101143. The reversal of 11311311101101 is 10110111311311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11311311101101 - 2¹ = 11311311101099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311311101171) 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, 503940 + ... + 4782946.

It is an arithmetic number, because the mean of its divisors is an integer number (776383211520).

Almost surely, 2^{11311311101101} is an apocalyptic number.

11311311101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11311311101101 is a deficient number, since it is larger than the sum of its proper divisors (1110820283219).

11311311101101 is a wasteful number, since it uses less digits than its factorization.

11311311101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280624.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 11311311101101 its reverse (10110111311311), we get a palindrome (21421422412412).

It can be divided in two parts, 11311311 and 101101, that multiplied together give a palindrome (1143584853411).

The spelling of 11311311101101 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, one hundred one thousand, one hundred one".