13000112100 has 108 divisors (see below), whose sum is σ = 40866540624. Its totient is φ = 3456623040.

The previous prime is 13000112087. The next prime is 13000112101. The reversal of 13000112100 is 121100031.

It is a super-2 number, since 2×13000112100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13000112101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291487 + ... + 333113.

Almost surely, 2^13000112100 is an apocalyptic number.

13000112100 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 13000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433270312).

13000112100 is an abundant number, since it is smaller than the sum of its proper divisors (27866428524).

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

13000112100 is a wasteful number, since it uses less digits than its factorization.

13000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41994 (or 41984 counting only the distinct ones).

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

Adding to 13000112100 its reverse (121100031), we get a palindrome (13121212131).

The spelling of 13000112100 in words is "thirteen billion, one hundred twelve thousand, one hundred".