1314313000 has 384 divisors, whose sum is σ = 4193130240. Its totient is φ = 374400000.

The previous prime is 1314312991. The next prime is 1314313003. The reversal of 1314313000 is 3134131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314313003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13012950 + ... + 13013050.

It is an arithmetic number, because the mean of its divisors is an integer number (10919610).

Almost surely, 2^1314313000 is an apocalyptic number.

1314313000 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 1314313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096565120).

1314313000 is an abundant number, since it is smaller than the sum of its proper divisors (2878817240).

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

1314313000 is a wasteful number, since it uses less digits than its factorization.

1314313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1314313000 is about 36253.4550077644. The cubic root of 1314313000 is about 1095.3836843398.

Adding to 1314313000 its reverse (3134131), we get a palindrome (1317447131).

It can be divided in two parts, 131431 and 3000, that added together give a palindrome (134431).

The spelling of 1314313000 in words is "one billion, three hundred fourteen million, three hundred thirteen thousand".