1311423551616 has 128 divisors (see below), whose sum is σ = 3656787148800. Its totient is φ = 415869465600.

The previous prime is 1311423551587. The next prime is 1311423551621. The reversal of 1311423551616 is 6161553241131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1311423551616² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231280 + ... + 1635951.

It is an arithmetic number, because the mean of its divisors is an integer number (28568649600).

Almost surely, 2^{1311423551616} is an apocalyptic number.

1311423551616 is a gapful number since it is divisible by the number (16) 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 1311423551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828393574400).

1311423551616 is an abundant number, since it is smaller than the sum of its proper divisors (2345363597184).

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

1311423551616 is a wasteful number, since it uses less digits than its factorization.

1311423551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867338 (or 1867326 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

Adding to 1311423551616 its reverse (6161553241131), we get a palindrome (7472976792747).

The spelling of 1311423551616 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, five hundred fifty-one thousand, six hundred sixteen".