1313641312 has 48 divisors (see below), whose sum is σ = 2657642400. Its totient is φ = 638786560.

The previous prime is 1313641291. The next prime is 1313641319. The reversal of 1313641312 is 2131463131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313641319) 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 7 ways as a sum of consecutive naturals, for example, 469614 + ... + 472402.

It is an arithmetic number, because the mean of its divisors is an integer number (55367550).

Almost surely, 2^1313641312 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 1313641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328821200).

1313641312 is an abundant number, since it is smaller than the sum of its proper divisors (1344001088).

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

1313641312 is a wasteful number, since it uses less digits than its factorization.

1313641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3191 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 1313641312 is about 36244.1900447506. The cubic root of 1313641312 is about 1095.1970516150.

The spelling of 1313641312 in words is "one billion, three hundred thirteen million, six hundred forty-one thousand, three hundred twelve".