1311143442144 has 96 divisors (see below), whose sum is σ = 3645564039936. Its totient is φ = 411186001920.

The previous prime is 1311143442137. The next prime is 1311143442179. The reversal of 1311143442144 is 4412443411131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1311143442144³ (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4276179 + ... + 4572525.

It is an arithmetic number, because the mean of its divisors is an integer number (37974625416).

Almost surely, 2^{1311143442144} 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 1311143442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822782019968).

1311143442144 is an abundant number, since it is smaller than the sum of its proper divisors (2334420597792).

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

1311143442144 is a wasteful number, since it uses less digits than its factorization.

1311143442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299088 (or 299080 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 1311143442144 its reverse (4412443411131), we get a palindrome (5723586853275).

The spelling of 1311143442144 in words is "one trillion, three hundred eleven billion, one hundred forty-three million, four hundred forty-two thousand, one hundred forty-four".