1311334331132 has 96 divisors (see below), whose sum is σ = 2819515765248. Its totient is φ = 520838866944.

The previous prime is 1311334331117. The next prime is 1311334331159. The reversal of 1311334331132 is 2311334331131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311334331095 and 1311334331104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98316368 + ... + 98329704.

It is an arithmetic number, because the mean of its divisors is an integer number (29369955888).

Almost surely, 2^{1311334331132} 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 1311334331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409757882624).

1311334331132 is an abundant number, since it is smaller than the sum of its proper divisors (1508181434116).

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

1311334331132 is a wasteful number, since it uses less digits than its factorization.

1311334331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16515 (or 16513 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

Adding to 1311334331132 its reverse (2311334331131), we get a palindrome (3622668662263).

Subtracting 1311334331132 from its reverse (2311334331131), we obtain a palindrome (999999999999).

The spelling of 1311334331132 in words is "one trillion, three hundred eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred thirty-two".