1311310208 has 64 divisors (see below), whose sum is σ = 2830581600. Its totient is φ = 605090304.

The previous prime is 1311310207. The next prime is 1311310211. The reversal of 1311310208 is 8020131131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1311310208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311310207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278885 + ... + 283547.

Almost surely, 2^1311310208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415290800).

1311310208 is an abundant number, since it is smaller than the sum of its proper divisors (1519271392).

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

1311310208 is an frugal number, since it uses more digits than its factorization.

1311310208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1311310208 is about 36212.0174527739. The cubic root of 1311310208 is about 1094.5488457879.

Adding to 1311310208 its reverse (8020131131), we get a palindrome (9331441339).

The spelling of 1311310208 in words is "one billion, three hundred eleven million, three hundred ten thousand, two hundred eight".