13331330100 has 216 divisors, whose sum is σ = 45762487680. Its totient is φ = 3219264000.

The previous prime is 13331330099. The next prime is 13331330137. The reversal of 13331330100 is 103313331.

13331330100 is a `hidden beast` number, since 1 + 3 + 331 + 330 + 1 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2680416 + ... + 2685384.

Almost surely, 2^13331330100 is an apocalyptic number.

13331330100 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 13331330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881243840).

13331330100 is an abundant number, since it is smaller than the sum of its proper divisors (32431157580).

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

13331330100 is a wasteful number, since it uses less digits than its factorization.

13331330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13331330100 its reverse (103313331), we get a palindrome (13434643431).

The spelling of 13331330100 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty thousand, one hundred".