1321312314432 has 112 divisors (see below), whose sum is σ = 3815095597632. Its totient is φ = 400260372480.

The previous prime is 1321312314409. The next prime is 1321312314451. The reversal of 1321312314432 is 2344132131231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1321312314432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6139398 + ... + 6350970.

Almost surely, 2^{1321312314432} is an apocalyptic number.

1321312314432 is a gapful number since it is divisible by the number (12) 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 1321312314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907547798816).

1321312314432 is an abundant number, since it is smaller than the sum of its proper divisors (2493783283200).

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

1321312314432 is a wasteful number, since it uses less digits than its factorization.

1321312314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214556 (or 214546 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1321312314432 its reverse (2344132131231), we get a palindrome (3665444445663).

The spelling of 1321312314432 in words is "one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred fourteen thousand, four hundred thirty-two".