13205406100 has 18 divisors (see below), whose sum is σ = 28655731454. Its totient is φ = 5282162400.

The previous prime is 13205406091. The next prime is 13205406131. The reversal of 13205406100 is 160450231.

It can be written as a sum of positive squares in 3 ways, for example, as 1349680644 + 11855725456 = 36738^2 + 108884^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 66026931 + ... + 66027130.

Almost surely, 2^13205406100 is an apocalyptic number.

13205406100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205406100 is an abundant number, since it is smaller than the sum of its proper divisors (15450325354).

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

13205406100 is a wasteful number, since it uses less digits than its factorization.

13205406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132054075 (or 132054068 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13205406100 its reverse (160450231), we get a palindrome (13365856331).

The spelling of 13205406100 in words is "thirteen billion, two hundred five million, four hundred six thousand, one hundred".