1313337828 has 48 divisors (see below), whose sum is σ = 3353253120. Its totient is φ = 396765600.

The previous prime is 1313337811. The next prime is 1313337833. The reversal of 1313337828 is 8287333131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28663 + ... + 58721.

It is an arithmetic number, because the mean of its divisors is an integer number (69859440).

Almost surely, 2^1313337828 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 1313337828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676626560).

1313337828 is an abundant number, since it is smaller than the sum of its proper divisors (2039915292).

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

1313337828 is a wasteful number, since it uses less digits than its factorization.

1313337828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30408 (or 30406 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1313337828 is about 36240.0031456952. The cubic root of 1313337828 is about 1095.1127058153.

The spelling of 1313337828 in words is "one billion, three hundred thirteen million, three hundred thirty-seven thousand, eight hundred twenty-eight".