13686820100 has 36 divisors (see below), whose sum is σ = 30187304868. Its totient is φ = 5384976000.

The previous prime is 13686820057. The next prime is 13686820111. The reversal of 13686820100 is 102868631.

It can be written as a sum of positive squares in 6 ways, for example, as 6257759236 + 7429060864 = 79106^2 + 86192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1115771 + ... + 1127970.

Almost surely, 2^13686820100 is an apocalyptic number.

13686820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13686820100 is an abundant number, since it is smaller than the sum of its proper divisors (16500484768).

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

13686820100 is a wasteful number, since it uses less digits than its factorization.

13686820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243816 (or 2243809 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 13686820100 in words is "thirteen billion, six hundred eighty-six million, eight hundred twenty thousand, one hundred".