13103112100 has 144 divisors (see below), whose sum is σ = 33215280336. Its totient is φ = 4442112000.

The previous prime is 13103112089. The next prime is 13103112103. The reversal of 13103112100 is 121130131.

It can be written as a sum of positive squares in 24 ways, for example, as 13088732836 + 14379264 = 114406^2 + 3792^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (13103112103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898870 + ... + 913330.

It is an arithmetic number, because the mean of its divisors is an integer number (230661669).

Almost surely, 2^13103112100 is an apocalyptic number.

13103112100 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 13103112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607640168).

13103112100 is an abundant number, since it is smaller than the sum of its proper divisors (20112168236).

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

13103112100 is a wasteful number, since it uses less digits than its factorization.

13103112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13103112100 its reverse (121130131), we get a palindrome (13224242231).

The spelling of 13103112100 in words is "thirteen billion, one hundred three million, one hundred twelve thousand, one hundred".