14331003320100 has 144 divisors (see below), whose sum is σ = 43925119862400. Its totient is φ = 3595025541120.

The previous prime is 14331003320099. The next prime is 14331003320119. The reversal of 14331003320100 is 102330013341.

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, 9655441 + ... + 11040359.

It is an arithmetic number, because the mean of its divisors is an integer number (305035554600).

Almost surely, 2^{14331003320100} is an apocalyptic number.

14331003320100 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 14331003320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962559931200).

14331003320100 is an abundant number, since it is smaller than the sum of its proper divisors (29594116542300).

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

14331003320100 is a wasteful number, since it uses less digits than its factorization.

14331003320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386982 (or 1386975 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 14331003320100 its reverse (102330013341), we get a palindrome (14433333333441).

The spelling of 14331003320100 in words is "fourteen trillion, three hundred thirty-one billion, three million, three hundred twenty thousand, one hundred".