13201100100 has 216 divisors, whose sum is σ = 43950187008. Its totient is φ = 3302784000.

The previous prime is 13201100071. The next prime is 13201100113. The reversal of 13201100100 is 100110231.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 5613925 + ... + 5616275.

It is an arithmetic number, because the mean of its divisors is an integer number (203473088).

Almost surely, 2^13201100100 is an apocalyptic number.

13201100100 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 13201100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975093504).

13201100100 is an abundant number, since it is smaller than the sum of its proper divisors (30749086908).

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

13201100100 is a wasteful number, since it uses less digits than its factorization.

13201100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13201100100 its reverse (100110231), we get a palindrome (13301210331).

The spelling of 13201100100 in words is "thirteen billion, two hundred one million, one hundred thousand, one hundred".