1331314421232 has 80 divisors (see below), whose sum is σ = 3491076001280. Its totient is φ = 437083485696.

The previous prime is 1331314421141. The next prime is 1331314421249. The reversal of 1331314421232 is 2321244131331.

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 1331314421232.

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 15 ways as a sum of consecutive naturals, for example, 24926268 + ... + 24979620.

It is an arithmetic number, because the mean of its divisors is an integer number (43638450016).

Almost surely, 2^{1331314421232} is an apocalyptic number.

1331314421232 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 1331314421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745538000640).

1331314421232 is an abundant number, since it is smaller than the sum of its proper divisors (2159761580048).

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

1331314421232 is a wasteful number, since it uses less digits than its factorization.

1331314421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61190 (or 61184 counting only the distinct ones).

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

Adding to 1331314421232 its reverse (2321244131331), we get a palindrome (3652558552563).

The spelling of 1331314421232 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred twenty-one thousand, two hundred thirty-two".