13120100100 has 108 divisors (see below), whose sum is σ = 42235797604. Its totient is φ = 3404125440.

The previous prime is 13120100099. The next prime is 13120100113. The reversal of 13120100100 is 100102131.

It can be written as a sum of positive squares in 6 ways, for example, as 917362944 + 12202737156 = 30288^2 + 110466^2 .

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, 163699 + ... + 230298.

Almost surely, 2^13120100100 is an apocalyptic number.

13120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120100100 is an abundant number, since it is smaller than the sum of its proper divisors (29115697504).

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

13120100100 is a wasteful number, since it uses less digits than its factorization.

13120100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394054 (or 394044 counting only the distinct ones).

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

Adding to 13120100100 its reverse (100102131), we get a palindrome (13220202231).

The spelling of 13120100100 in words is "thirteen billion, one hundred twenty million, one hundred thousand, one hundred".