1331100303000 has 256 divisors, whose sum is σ = 4576514342400. Its totient is φ = 320035161600.

The previous prime is 1331100302989. The next prime is 1331100303007. The reversal of 1331100303000 is 3030011331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331100303007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1280131 + ... + 2073869.

It is an arithmetic number, because the mean of its divisors is an integer number (17877009150).

Almost surely, 2^{1331100303000} is an apocalyptic number.

1331100303000 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 1331100303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288257171200).

1331100303000 is an abundant number, since it is smaller than the sum of its proper divisors (3245414039400).

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

1331100303000 is a wasteful number, since it uses less digits than its factorization.

1331100303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793819 (or 793805 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1331100303000 its reverse (3030011331), we get a palindrome (1334130314331).

The spelling of 1331100303000 in words is "one trillion, three hundred thirty-one billion, one hundred million, three hundred three thousand".