1313200 has 90 divisors (see below), whose sum is σ = 3724836. Its totient is φ = 443520.

The previous prime is 1313171. The next prime is 1313219. The reversal of 1313200 is 23131.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 17 ways as a sum of consecutive naturals, for example, 19567 + ... + 19633.

2^1313200 is an apocalyptic number.

1313200 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 1313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862418).

1313200 is an abundant number, since it is smaller than the sum of its proper divisors (2411636).

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

1313200 is a wasteful number, since it uses less digits than its factorization.

1313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1313200 is about 1145.9493880621. The cubic root of 1313200 is about 109.5074395674.

Adding to 1313200 its reverse (23131), we get a palindrome (1336331).

The spelling of 1313200 in words is "one million, three hundred thirteen thousand, two hundred".