13305727100 has 36 divisors (see below), whose sum is σ = 28880979624. Its totient is φ = 5320898880.

The previous prime is 13305727081. The next prime is 13305727103. The reversal of 13305727100 is 172750331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305727103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422087 + ... + 452513.

It is an arithmetic number, because the mean of its divisors is an integer number (802249434).

Almost surely, 2^13305727100 is an apocalyptic number.

13305727100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305727100 is an abundant number, since it is smaller than the sum of its proper divisors (15575252524).

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

13305727100 is a wasteful number, since it uses less digits than its factorization.

13305727100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34814 (or 34807 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The spelling of 13305727100 in words is "thirteen billion, three hundred five million, seven hundred twenty-seven thousand, one hundred".