1313395200 has 360 divisors, whose sum is σ = 5067610548. Its totient is φ = 322928640.

The previous prime is 1313395199. The next prime is 1313395201. The reversal of 1313395200 is 25933131.

It is a happy number.

1313395200 is a `hidden beast` number, since 1 + 3 + 133 + 9 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1313395199) and next prime (1313395201).

It can be written as a sum of positive squares in 6 ways, for example, as 464488704 + 848906496 = 21552^2 + 29136^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1313395201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497162 + ... + 1498038.

Almost surely, 2^1313395200 is an apocalyptic number.

1313395200 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 1313395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533805274).

1313395200 is an abundant number, since it is smaller than the sum of its proper divisors (3754215348).

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

1313395200 is a wasteful number, since it uses less digits than its factorization.

1313395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1313395200 is about 36240.7946932735. The cubic root of 1313395200 is about 1095.1286519260.

The spelling of 1313395200 in words is "one billion, three hundred thirteen million, three hundred ninety-five thousand, two hundred".