1313311311232 has 64 divisors (see below), whose sum is σ = 2672628235200. Its totient is φ = 642540294144.

The previous prime is 1313311311203. The next prime is 1313311311233. The reversal of 1313311311232 is 2321131133131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1313311311197 and 1313311311206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313311311233) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29871538 + ... + 29915470.

It is an arithmetic number, because the mean of its divisors is an integer number (41759816175).

Almost surely, 2^{1313311311232} 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 1313311311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336314117600).

1313311311232 is an abundant number, since it is smaller than the sum of its proper divisors (1359316923968).

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

1313311311232 is an equidigital number, since it uses as much as digits as its factorization.

1313311311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48963 (or 48951 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

Adding to 1313311311232 its reverse (2321131133131), we get a palindrome (3634442444363).

The spelling of 1313311311232 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, three hundred eleven thousand, two hundred thirty-two".