1310313000 has 128 divisors (see below), whose sum is σ = 4175608320. Its totient is φ = 341945600.

The previous prime is 1310312977. The next prime is 1310313019. The reversal of 1310313000 is 3130131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136354 + ... + 145646.

It is an arithmetic number, because the mean of its divisors is an integer number (32621940).

Almost surely, 2^1310313000 is an apocalyptic number.

1310313000 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 1310313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087804160).

1310313000 is an abundant number, since it is smaller than the sum of its proper divisors (2865295320).

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

1310313000 is a wasteful number, since it uses less digits than its factorization.

1310313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1310313000 is about 36198.2458138513. The cubic root of 1310313000 is about 1094.2713193727.

Adding to 1310313000 its reverse (3130131), we get a palindrome (1313443131).

The spelling of 1310313000 in words is "one billion, three hundred ten million, three hundred thirteen thousand".