13205052100 has 72 divisors (see below), whose sum is σ = 30709159488. Its totient is φ = 4915785600.

The previous prime is 13205052089. The next prime is 13205052167. The reversal of 13205052100 is 125050231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515 + ... + 162685.

It is an arithmetic number, because the mean of its divisors is an integer number (426516104).

Almost surely, 2^13205052100 is an apocalyptic number.

13205052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354579744).

13205052100 is an abundant number, since it is smaller than the sum of its proper divisors (17504107388).

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

13205052100 is a wasteful number, since it uses less digits than its factorization.

13205052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155245 (or 155238 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 13205052100 in words is "thirteen billion, two hundred five million, fifty-two thousand, one hundred".