1311544512320 has 224 divisors, whose sum is σ = 3622709422080. Its totient is φ = 442951649280.

The previous prime is 1311544512307. The next prime is 1311544512437. The reversal of 1311544512320 is 232154451131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 226947191 + ... + 226952969.

It is an arithmetic number, because the mean of its divisors is an integer number (16172809920).

Almost surely, 2^{1311544512320} is an apocalyptic number.

1311544512320 is a gapful number since it is divisible by the number (10) 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 1311544512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811354711040).

1311544512320 is an abundant number, since it is smaller than the sum of its proper divisors (2311164909760).

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

1311544512320 is a wasteful number, since it uses less digits than its factorization.

1311544512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 1311544512320 its reverse (232154451131), we get a palindrome (1543698963451).

The spelling of 1311544512320 in words is "one trillion, three hundred eleven billion, five hundred forty-four million, five hundred twelve thousand, three hundred twenty".