1331321344100 has 144 divisors (see below), whose sum is σ = 3301744674816. Its totient is φ = 461221200000.

The previous prime is 1331321344033. The next prime is 1331321344237. The reversal of 1331321344100 is 14431231331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331321344100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6245477 + ... + 6455123.

It is an arithmetic number, because the mean of its divisors is an integer number (22928782464).

Almost surely, 2^{1331321344100} is an apocalyptic number.

1331321344100 is a gapful number since it is divisible by the number (10) 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 1331321344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650872337408).

1331321344100 is an abundant number, since it is smaller than the sum of its proper divisors (1970423330716).

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

1331321344100 is a wasteful number, since it uses less digits than its factorization.

1331321344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209946 (or 209939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1331321344100 its reverse (14431231331), we get a palindrome (1345752575431).

The spelling of 1331321344100 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred forty-four thousand, one hundred".