1311114330306 has 96 divisors (see below), whose sum is σ = 3154084464960. Its totient is φ = 390262665600.

The previous prime is 1311114330301. The next prime is 1311114330311. The reversal of 1311114330306 is 6030334111131.

1311114330306 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 14 + 330 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (1311114330301) and next prime (1311114330311).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311114330306.

It is not an unprimeable number, because it can be changed into a prime (1311114330301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8852196 + ... + 8999088.

It is an arithmetic number, because the mean of its divisors is an integer number (32855046510).

Almost surely, 2^{1311114330306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311114330306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577042232480).

1311114330306 is an abundant number, since it is smaller than the sum of its proper divisors (1842970134654).

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

1311114330306 is a wasteful number, since it uses less digits than its factorization.

1311114330306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147712 (or 147709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1311114330306 its reverse (6030334111131), we get a palindrome (7341448441437).

The spelling of 1311114330306 in words is "one trillion, three hundred eleven billion, one hundred fourteen million, three hundred thirty thousand, three hundred six".