1001331321100 has 72 divisors (see below), whose sum is σ = 2374681479408. Its totient is φ = 363466540800.

The previous prime is 1001331321097. The next prime is 1001331321121. The reversal of 1001331321100 is 11231331001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204447 + ... + 1429846.

It is an arithmetic number, because the mean of its divisors is an integer number (32981687214).

Almost surely, 2^{1001331321100} is an apocalyptic number.

1001331321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001331321100 is an abundant number, since it is smaller than the sum of its proper divisors (1373350158308).

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

1001331321100 is a wasteful number, since it uses less digits than its factorization.

1001331321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634875 (or 1634868 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001331321100 its reverse (11231331001), we get a palindrome (1012562652101).

Subtracting from 1001331321100 its reverse (11231331001), we obtain a palindrome (990099990099).

The spelling of 1001331321100 in words is "one trillion, one billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred".