1313630208 has 432 divisors, whose sum is σ = 4531363200. Its totient is φ = 364953600.

The previous prime is 1313630191. The next prime is 1313630209. The reversal of 1313630208 is 8020363131.

It is a happy number.

1313630208 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 630 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313630209) 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, 42375153 + ... + 42375183.

Almost surely, 2^1313630208 is an apocalyptic number.

1313630208 is a gapful number since it is divisible by the number (18) 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 1313630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265681600).

1313630208 is an abundant number, since it is smaller than the sum of its proper divisors (3217732992).

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

1313630208 is a wasteful number, since it uses less digits than its factorization.

1313630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1313630208 is about 36244.0368612548. The cubic root of 1313630208 is about 1095.1939657644.

Adding to 1313630208 its reverse (8020363131), we get a palindrome (9333993339).

The spelling of 1313630208 in words is "one billion, three hundred thirteen million, six hundred thirty thousand, two hundred eight".