13112000210100 has 216 divisors, whose sum is σ = 41713297400320. Its totient is φ = 3177635788800.

The previous prime is 13112000210077. The next prime is 13112000210107. The reversal of 13112000210100 is 101200021131.

13112000210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112000210107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114977709 + ... + 115091691.

Almost surely, 2^{13112000210100} is an apocalyptic number.

13112000210100 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 13112000210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856648700160).

13112000210100 is an abundant number, since it is smaller than the sum of its proper divisors (28601297190220).

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

13112000210100 is a wasteful number, since it uses less digits than its factorization.

13112000210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117191 (or 117173 counting only the distinct ones).

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

Adding to 13112000210100 its reverse (101200021131), we get a palindrome (13213200231231).

The spelling of 13112000210100 in words is "thirteen trillion, one hundred twelve billion, two hundred ten thousand, one hundred".