13211312100 has 144 divisors (see below), whose sum is σ = 43723618176. Its totient is φ = 3017088000.

The previous prime is 13211312099. The next prime is 13211312111. The reversal of 13211312100 is 121311231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13211312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402160 + ... + 3406040.

Almost surely, 2^13211312100 is an apocalyptic number.

13211312100 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 13211312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21861809088).

13211312100 is an abundant number, since it is smaller than the sum of its proper divisors (30512306076).

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

13211312100 is a wasteful number, since it uses less digits than its factorization.

13211312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13211312100 its reverse (121311231), we get a palindrome (13332623331).

It can be divided in two parts, 1321131 and 2100, that added together give a palindrome (1323231).

The spelling of 13211312100 in words is "thirteen billion, two hundred eleven million, three hundred twelve thousand, one hundred".