1311313224 has 96 divisors (see below), whose sum is σ = 3750606720. Its totient is φ = 379720704.

The previous prime is 1311313183. The next prime is 1311313229. The reversal of 1311313224 is 4223131131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311313224.

It is not an unprimeable number, because it can be changed into a prime (1311313229) 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, 82897 + ... + 97439.

It is an arithmetic number, because the mean of its divisors is an integer number (39068820).

Almost surely, 2^1311313224 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 1311313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875303360).

1311313224 is an abundant number, since it is smaller than the sum of its proper divisors (2439293496).

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

1311313224 is a wasteful number, since it uses less digits than its factorization.

1311313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14578 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1311313224 is about 36212.0590963839. The cubic root of 1311313224 is about 1094.5496849376.

Adding to 1311313224 its reverse (4223131131), we get a palindrome (5534444355).

The spelling of 1311313224 in words is "one billion, three hundred eleven million, three hundred thirteen thousand, two hundred twenty-four".