13220111311231 has 16 divisors (see below), whose sum is σ = 15286726542240. Its totient is φ = 11299149230080.

The previous prime is 13220111311229. The next prime is 13220111311247. The reversal of 13220111311231 is 13211311102231.

It is a cyclic number.

It is not a de Polignac number, because 13220111311231 - 2¹ = 13220111311229 is a prime.

It is a super-3 number, since 3×13220111311231³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220111311271) 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 in 15 ways as a sum of consecutive naturals, for example, 37875676 + ... + 38223121.

It is an arithmetic number, because the mean of its divisors is an integer number (955420408890).

Almost surely, 2^{13220111311231} is an apocalyptic number.

13220111311231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13220111311231 is a deficient number, since it is larger than the sum of its proper divisors (2066615231009).

13220111311231 is a wasteful number, since it uses less digits than its factorization.

13220111311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76099754.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 13220111311231 its reverse (13211311102231), we get a palindrome (26431422413462).

The spelling of 13220111311231 in words is "thirteen trillion, two hundred twenty billion, one hundred eleven million, three hundred eleven thousand, two hundred thirty-one".