13311223314004 has 96 divisors (see below), whose sum is σ = 29593561890816. Its totient is φ = 5087836490880.

The previous prime is 13311223314001. The next prime is 13311223314017. The reversal of 13311223314004 is 40041332211331.

It is a super-2 number, since 2×13311223314004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311223314001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194270319 + ... + 194338825.

It is an arithmetic number, because the mean of its divisors is an integer number (308266269696).

Almost surely, 2^{13311223314004} is an apocalyptic number.

13311223314004 is a gapful number since it is divisible by the number (14) 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 13311223314004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796780945408).

13311223314004 is an abundant number, since it is smaller than the sum of its proper divisors (16282338576812).

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

13311223314004 is a wasteful number, since it uses less digits than its factorization.

13311223314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80485 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13311223314004 its reverse (40041332211331), we get a palindrome (53352555525335).

The spelling of 13311223314004 in words is "thirteen trillion, three hundred eleven billion, two hundred twenty-three million, three hundred fourteen thousand, four".