1311414208 has 56 divisors (see below), whose sum is σ = 2808030960. Its totient is φ = 604078080.

The previous prime is 1311414131. The next prime is 1311414211. The reversal of 1311414208 is 8024141131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532083 + ... + 534541.

It is an arithmetic number, because the mean of its divisors is an integer number (50143410).

Almost surely, 2^1311414208 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 1311414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404015480).

1311414208 is an abundant number, since it is smaller than the sum of its proper divisors (1496616752).

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

1311414208 is a wasteful number, since it uses less digits than its factorization.

1311414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1311414208 is about 36213.4534116811. The cubic root of 1311414208 is about 1094.5777812424.

Adding to 1311414208 its reverse (8024141131), we get a palindrome (9335555339).

The spelling of 1311414208 in words is "one billion, three hundred eleven million, four hundred fourteen thousand, two hundred eight".