13112102100 has 144 divisors (see below), whose sum is σ = 38266300800. Its totient is φ = 3466444800.

The previous prime is 13112102099. The next prime is 13112102117. The reversal of 13112102100 is 120121131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 29202676 + ... + 29203124.

It is an arithmetic number, because the mean of its divisors is an integer number (265738200).

Almost surely, 2^13112102100 is an apocalyptic number.

13112102100 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 13112102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133150400).

13112102100 is an abundant number, since it is smaller than the sum of its proper divisors (25154198700).

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

13112102100 is a wasteful number, since it uses less digits than its factorization.

13112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13112102100 its reverse (120121131), we get a palindrome (13232223231).

The spelling of 13112102100 in words is "thirteen billion, one hundred twelve million, one hundred two thousand, one hundred".