13311103101312 has 128 divisors (see below), whose sum is σ = 36039635169120. Its totient is φ = 4351517081600.

The previous prime is 13311103101271. The next prime is 13311103101319. The reversal of 13311103101312 is 21310130111331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13311103101312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311103101319) 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, 49545262 + ... + 49813202.

Almost surely, 2^{13311103101312} is an apocalyptic number.

13311103101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311103101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019817584560).

13311103101312 is an abundant number, since it is smaller than the sum of its proper divisors (22728532067808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311103101312 is a wasteful number, since it uses less digits than its factorization.

13311103101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270452 (or 270440 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13311103101312 its reverse (21310130111331), we get a palindrome (34621233212643).

The spelling of 13311103101312 in words is "thirteen trillion, three hundred eleven billion, one hundred three million, one hundred one thousand, three hundred twelve".