13331220144 has 160 divisors (see below), whose sum is σ = 38311833600. Its totient is φ = 3960633600.

The previous prime is 13331220113. The next prime is 13331220169. The reversal of 13331220144 is 44102213331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7459219 + ... + 7461005.

It is an arithmetic number, because the mean of its divisors is an integer number (239448960).

Almost surely, 2^13331220144 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 13331220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155916800).

13331220144 is an abundant number, since it is smaller than the sum of its proper divisors (24980613456).

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

13331220144 is a wasteful number, since it uses less digits than its factorization.

13331220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13331220144 its reverse (44102213331), we get a palindrome (57433433475).

The spelling of 13331220144 in words is "thirteen billion, three hundred thirty-one million, two hundred twenty thousand, one hundred forty-four".