13311211223440 has 40 divisors (see below), whose sum is σ = 33329225027448. Its totient is φ = 4914908759040.

The previous prime is 13311211223411. The next prime is 13311211223441. The reversal of 13311211223440 is 4432211211331.

It can be written as a sum of positive squares in 4 ways, for example, as 83645894656 + 13227565328784 = 289216^2 + 3636972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13311211223399 and 13311211223408.

It is not an unprimeable number, because it can be changed into a prime (13311211223441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6399619741 + ... + 6399621820.

Almost surely, 2^{13311211223440} is an apocalyptic number.

13311211223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311211223440 is an abundant number, since it is smaller than the sum of its proper divisors (20018013804008).

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

13311211223440 is a wasteful number, since it uses less digits than its factorization.

13311211223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799241587 (or 12799241581 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13311211223440 its reverse (4432211211331), we get a palindrome (17743422434771).

The spelling of 13311211223440 in words is "thirteen trillion, three hundred eleven billion, two hundred eleven million, two hundred twenty-three thousand, four hundred forty".