1311184300314 has 64 divisors (see below), whose sum is σ = 3079244157696. Its totient is φ = 364350887424.

The previous prime is 1311184300259. The next prime is 1311184300319. The reversal of 1311184300314 is 4130034811131.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1311184300319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678942 + ... + 4019574.

It is an arithmetic number, because the mean of its divisors is an integer number (48113189964).

Almost surely, 2^{1311184300314} is an apocalyptic number.

1311184300314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311184300314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539622078848).

1311184300314 is an abundant number, since it is smaller than the sum of its proper divisors (1768059857382).

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

1311184300314 is a wasteful number, since it uses less digits than its factorization.

1311184300314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343159.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1311184300314 in words is "one trillion, three hundred eleven billion, one hundred eighty-four million, three hundred thousand, three hundred fourteen".