1313000 has 64 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 480000.

The previous prime is 1312967. The next prime is 1313041. The reversal of 1313000 is 3131.

It can be written as a sum of positive squares in 8 ways, for example, as 98596 + 1214404 = 314^2 + 1102^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12950 + ... + 13050.

2^1313000 is an apocalyptic number.

1313000 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 1313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

1313000 is an abundant number, since it is smaller than the sum of its proper divisors (2028520).

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

1313000 is a wasteful number, since it uses less digits than its factorization.

1313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1313000 is about 1145.8621208505. The cubic root of 1313000 is about 109.5018799674.

Adding to 1313000 its reverse (3131), we get a palindrome (1316131).

The spelling of 1313000 in words is "one million, three hundred thirteen thousand".