1313312328 has 216 divisors, whose sum is σ = 3944819970. Its totient is φ = 394437120.

The previous prime is 1313312327. The next prime is 1313312381. The reversal of 1313312328 is 8232133131.

1313312328 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 2 + 328 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 831860964 + 481451364 = 28842^2 + 21942^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1313312323) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 32031988 + ... + 32032028.

Almost surely, 2^1313312328 is an apocalyptic number.

1313312328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972409985).

1313312328 is an abundant number, since it is smaller than the sum of its proper divisors (2631507642).

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

1313312328 is a wasteful number, since it uses less digits than its factorization.

1313312328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 98 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1313312328 is about 36239.6513228259. The cubic root of 1313312328 is about 1095.1056181353.

Adding to 1313312328 its reverse (8232133131), we get a palindrome (9545445459).

The spelling of 1313312328 in words is "one billion, three hundred thirteen million, three hundred twelve thousand, three hundred twenty-eight".