1311213320304 has 160 divisors (see below), whose sum is σ = 3695294468160. Its totient is φ = 399063515136.

The previous prime is 1311213320303. The next prime is 1311213320309. The reversal of 1311213320304 is 4030233121131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311213320303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678744 + ... + 4019400.

It is an arithmetic number, because the mean of its divisors is an integer number (23095590426).

Almost surely, 2^{1311213320304} 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 1311213320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847647234080).

1311213320304 is an abundant number, since it is smaller than the sum of its proper divisors (2384081147856).

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

1311213320304 is a wasteful number, since it uses less digits than its factorization.

1311213320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340827 (or 340821 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1311213320304 its reverse (4030233121131), we get a palindrome (5341446441435).

The spelling of 1311213320304 in words is "one trillion, three hundred eleven billion, two hundred thirteen million, three hundred twenty thousand, three hundred four".