1313005200 has 240 divisors, whose sum is σ = 4796942976. Its totient is φ = 304128000.

The previous prime is 1313005153. The next prime is 1313005283. The reversal of 1313005200 is 25003131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313005200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262725 + ... + 267675.

Almost surely, 2^1313005200 is an apocalyptic number.

1313005200 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 1313005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398471488).

1313005200 is an abundant number, since it is smaller than the sum of its proper divisors (3483937776).

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

1313005200 is a wasteful number, since it uses less digits than its factorization.

1313005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1313005200 is about 36235.4136170680. The cubic root of 1313005200 is about 1095.0202452419.

Adding to 1313005200 its reverse (25003131), we get a palindrome (1338008331).

The spelling of 1313005200 in words is "one billion, three hundred thirteen million, five thousand, two hundred".