1321112330100 has 288 divisors, whose sum is σ = 4514946441600. Its totient is φ = 330448896000.

The previous prime is 1321112330039. The next prime is 1321112330117. The reversal of 1321112330100 is 10332111231.

1321112330100 is a `hidden beast` number, since 1 + 321 + 1 + 1 + 2 + 330 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 5053812 + ... + 5308788.

Almost surely, 2^{1321112330100} is an apocalyptic number.

1321112330100 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 1321112330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257473220800).

1321112330100 is an abundant number, since it is smaller than the sum of its proper divisors (3193834111500).

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

1321112330100 is a wasteful number, since it uses less digits than its factorization.

1321112330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255120 (or 255107 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1321112330100 its reverse (10332111231), we get a palindrome (1331444441331).

The spelling of 1321112330100 in words is "one trillion, three hundred twenty-one billion, one hundred twelve million, three hundred thirty thousand, one hundred".