1313315000 has 160 divisors (see below), whose sum is σ = 3276451200. Its totient is φ = 492480000.

The previous prime is 1313314997. The next prime is 1313315009. The reversal of 1313315000 is 5133131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313315000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313315009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5734886 + ... + 5735114.

It is an arithmetic number, because the mean of its divisors is an integer number (20477820).

Almost surely, 2^1313315000 is an apocalyptic number.

1313315000 is a gapful number since it is divisible by the number (10) 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 1313315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638225600).

1313315000 is an abundant number, since it is smaller than the sum of its proper divisors (1963136200).

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

1313315000 is a wasteful number, since it uses less digits than its factorization.

1313315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 1313315000 is about 36239.6881885041. The cubic root of 1313315000 is about 1095.1063608173.

Adding to 1313315000 its reverse (5133131), we get a palindrome (1318448131).

The spelling of 1313315000 in words is "one billion, three hundred thirteen million, three hundred fifteen thousand".