1316831328 has 144 divisors (see below), whose sum is σ = 4113607680. Its totient is φ = 397723392.

The previous prime is 1316831323. The next prime is 1316831353. The reversal of 1316831328 is 8231386131.

1316831328 is a `hidden beast` number, since 1 + 316 + 8 + 313 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1316831328³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1316831292 and 1316831301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316831323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120625 + ... + 131087.

It is an arithmetic number, because the mean of its divisors is an integer number (28566720).

Almost surely, 2^1316831328 is an apocalyptic number.

1316831328 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 1316831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056803840).

1316831328 is an abundant number, since it is smaller than the sum of its proper divisors (2796776352).

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

1316831328 is a wasteful number, since it uses less digits than its factorization.

1316831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10510 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1316831328 is about 36288.1706345195. The cubic root of 1316831328 is about 1096.0828519958.

The spelling of 1316831328 in words is "one billion, three hundred sixteen million, eight hundred thirty-one thousand, three hundred twenty-eight".