13123816900 has 18 divisors (see below), whose sum is σ = 28478682890. Its totient is φ = 5249526720.

The previous prime is 13123816897. The next prime is 13123816903. The reversal of 13123816900 is 961832131.

13123816900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123816897) and next prime (13123816903).

It can be written as a sum of positive squares in 3 ways, for example, as 2140357696 + 10983459204 = 46264^2 + 104802^2 .

It is a super-2 number, since 2×13123816900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123816903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65618985 + ... + 65619184.

Almost surely, 2^13123816900 is an apocalyptic number.

13123816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123816900 is an abundant number, since it is smaller than the sum of its proper divisors (15354865990).

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

13123816900 is a wasteful number, since it uses less digits than its factorization.

13123816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131238183 (or 131238176 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 13123816900 in words is "thirteen billion, one hundred twenty-three million, eight hundred sixteen thousand, nine hundred".