1311227731968 has 896 divisors, whose sum is σ = 4529571840000. Its totient is φ = 334388920320.

The previous prime is 1311227731951. The next prime is 1311227731981. The reversal of 1311227731968 is 8691377221131.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 1311227731968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7325294503 + ... + 7325294681.

Almost surely, 2^{1311227731968} 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 1311227731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264785920000).

1311227731968 is an abundant number, since it is smaller than the sum of its proper divisors (3218344108032).

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

1311227731968 is an equidigital number, since it uses as much as digits as its factorization.

1311227731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The spelling of 1311227731968 in words is "one trillion, three hundred eleven billion, two hundred twenty-seven million, seven hundred thirty-one thousand, nine hundred sixty-eight".