1331033303100 has 144 divisors (see below), whose sum is σ = 3878315271936. Its totient is φ = 352440576000.

The previous prime is 1331033303069. The next prime is 1331033303129. The reversal of 1331033303100 is 13033301331.

It is a super-2 number, since 2×1331033303100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 48633420 + ... + 48660780.

It is an arithmetic number, because the mean of its divisors is an integer number (26932744944).

Almost surely, 2^{1331033303100} is an apocalyptic number.

1331033303100 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 1331033303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939157635968).

1331033303100 is an abundant number, since it is smaller than the sum of its proper divisors (2547281968836).

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

1331033303100 is a wasteful number, since it uses less digits than its factorization.

1331033303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28516 (or 28509 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1331033303100 its reverse (13033301331), we get a palindrome (1344066604431).

The spelling of 1331033303100 in words is "one trillion, three hundred thirty-one billion, thirty-three million, three hundred three thousand, one hundred".