13334102100 has 216 divisors, whose sum is σ = 46566269568. Its totient is φ = 3163622400.

The previous prime is 13334102081. The next prime is 13334102107. The reversal of 13334102100 is 120143331.

13334102100 is a `hidden beast` number, since 13 + 33 + 410 + 210 + 0 = 666.

It is a super-3 number, since 3×13334102100³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 450972 + ... + 479628.

Almost surely, 2^13334102100 is an apocalyptic number.

13334102100 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 13334102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23283134784).

13334102100 is an abundant number, since it is smaller than the sum of its proper divisors (33232167468).

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

13334102100 is a wasteful number, since it uses less digits than its factorization.

13334102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28735 (or 28725 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13334102100 its reverse (120143331), we get a palindrome (13454245431).

The spelling of 13334102100 in words is "thirteen billion, three hundred thirty-four million, one hundred two thousand, one hundred".