1321332144 has 80 divisors (see below), whose sum is σ = 3748641024. Its totient is φ = 397728000.

The previous prime is 1321332119. The next prime is 1321332151. The reversal of 1321332144 is 4412331231.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71442 + ... + 88014.

Almost surely, 2^1321332144 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 1321332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874320512).

1321332144 is an abundant number, since it is smaller than the sum of its proper divisors (2427308880).

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

1321332144 is a wasteful number, since it uses less digits than its factorization.

1321332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16746 (or 16740 counting only the distinct ones).

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

The square root of 1321332144 is about 36350.1326545035. The cubic root of 1321332144 is about 1097.3302042033.

Adding to 1321332144 its reverse (4412331231), we get a palindrome (5733663375).

The spelling of 1321332144 in words is "one billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred forty-four".