1321350144 has 88 divisors (see below), whose sum is σ = 3533285760. Its totient is φ = 439025664.

The previous prime is 1321350133. The next prime is 1321350181. The reversal of 1321350144 is 4410531231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1421872 + ... + 1422800.

Almost surely, 2^1321350144 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 1321350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766642880).

1321350144 is an abundant number, since it is smaller than the sum of its proper divisors (2211935616).

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

1321350144 is an equidigital number, since it uses as much as digits as its factorization.

1321350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1321350144 is about 36350.3802456040. The cubic root of 1321350144 is about 1097.3351870166.

Adding to 1321350144 its reverse (4410531231), we get a palindrome (5731881375).

The spelling of 1321350144 in words is "one billion, three hundred twenty-one million, three hundred fifty thousand, one hundred forty-four".