1321231334144 has 72 divisors (see below), whose sum is σ = 2652330963072. Its totient is φ = 656854548480.

The previous prime is 1321231334119. The next prime is 1321231334161. The reversal of 1321231334144 is 4414331321231.

It is a super-3 number, since 3×1321231334144³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1321231334144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115658417 + ... + 115669839.

Almost surely, 2^{1321231334144} 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 1321231334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326165481536).

1321231334144 is an abundant number, since it is smaller than the sum of its proper divisors (1331099628928).

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

1321231334144 is a wasteful number, since it uses less digits than its factorization.

1321231334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13959 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1321231334144 its reverse (4414331321231), we get a palindrome (5735562655375).

The spelling of 1321231334144 in words is "one trillion, three hundred twenty-one billion, two hundred thirty-one million, three hundred thirty-four thousand, one hundred forty-four".