1323131424 has 144 divisors (see below), whose sum is σ = 3722961312. Its totient is φ = 411319296.

The previous prime is 1323131423. The next prime is 1323131527. The reversal of 1323131424 is 4241313231.

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 a junction number, because it is equal to n+sod(n) for n = 1323131394 and 1323131403.

It is not an unprimeable number, because it can be changed into a prime (1323131423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2529627 + ... + 2530149.

It is an arithmetic number, because the mean of its divisors is an integer number (25853898).

Almost surely, 2^1323131424 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 1323131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861480656).

1323131424 is an abundant number, since it is smaller than the sum of its proper divisors (2399829888).

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

1323131424 is a wasteful number, since it uses less digits than its factorization.

1323131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

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

The square root of 1323131424 is about 36374.8735255533. The cubic root of 1323131424 is about 1097.8280625662.

Adding to 1323131424 its reverse (4241313231), we get a palindrome (5564444655).

The spelling of 1323131424 in words is "one billion, three hundred twenty-three million, one hundred thirty-one thousand, four hundred twenty-four".