13323222144 has 160 divisors (see below), whose sum is σ = 41374333440. Its totient is φ = 4247907840.

The previous prime is 13323222139. The next prime is 13323222149. The reversal of 13323222144 is 44122232331.

13323222144 is a `hidden beast` number, since 1 + 332 + 322 + 2 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13323222139) and next prime (13323222149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13323222149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210529 + ... + 266399.

It is an arithmetic number, because the mean of its divisors is an integer number (258589584).

Almost surely, 2^13323222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687166720).

13323222144 is an abundant number, since it is smaller than the sum of its proper divisors (28051111296).

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

13323222144 is an equidigital number, since it uses as much as digits as its factorization.

13323222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55920 (or 55899 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 13323222144 its reverse (44122232331), we get a palindrome (57445454475).

The spelling of 13323222144 in words is "thirteen billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred forty-four".