13012100100 has 108 divisors (see below), whose sum is σ = 40858021204. Its totient is φ = 3463741440.

The previous prime is 13012100099. The next prime is 13012100113. The reversal of 13012100100 is 100121031.

It can be written as a sum of positive squares in 6 ways, for example, as 54375876 + 12957724224 = 7374^2 + 113832^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506772 + ... + 531828.

Almost surely, 2^13012100100 is an apocalyptic number.

13012100100 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 13012100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429010602).

13012100100 is an abundant number, since it is smaller than the sum of its proper divisors (27845921104).

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

13012100100 is a wasteful number, since it uses less digits than its factorization.

13012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25654 (or 25644 counting only the distinct ones).

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

Adding to 13012100100 its reverse (100121031), we get a palindrome (13112221131).

The spelling of 13012100100 in words is "thirteen billion, twelve million, one hundred thousand, one hundred".