13112010100 has 72 divisors (see below), whose sum is σ = 32544042048. Its totient is φ = 4491916800.

The previous prime is 13112010083. The next prime is 13112010137. The reversal of 13112010100 is 101021131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945819 + ... + 959581.

It is an arithmetic number, because the mean of its divisors is an integer number (452000584).

Almost surely, 2^13112010100 is an apocalyptic number.

13112010100 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 13112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272021024).

13112010100 is an abundant number, since it is smaller than the sum of its proper divisors (19432031948).

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

13112010100 is a wasteful number, since it uses less digits than its factorization.

13112010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13112010100 its reverse (101021131), we get a palindrome (13213031231).

The spelling of 13112010100 in words is "thirteen billion, one hundred twelve million, ten thousand, one hundred".