1311323030304 has 288 divisors, whose sum is σ = 4179308990976. Its totient is φ = 358626078720.

The previous prime is 1311323030299. The next prime is 1311323030317. The reversal of 1311323030304 is 4030303231131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10157649 + ... + 10285935.

It is an arithmetic number, because the mean of its divisors is an integer number (14511489552).

Almost surely, 2^{1311323030304} is an apocalyptic number.

1311323030304 is a gapful number since it is divisible by the number (14) 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 1311323030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089654495488).

1311323030304 is an abundant number, since it is smaller than the sum of its proper divisors (2867985960672).

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

1311323030304 is a wasteful number, since it uses less digits than its factorization.

1311323030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128408 (or 128393 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1311323030304 its reverse (4030303231131), we get a palindrome (5341626261435).

The spelling of 1311323030304 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, thirty thousand, three hundred four".