13541205300 has 144 divisors (see below), whose sum is σ = 45868647552. Its totient is φ = 3019622400.

The previous prime is 13541205289. The next prime is 13541205343. The reversal of 13541205300 is 350214531.

13541205300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7464 + ... + 164736.

Almost surely, 2^13541205300 is an apocalyptic number.

13541205300 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 13541205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934323776).

13541205300 is an abundant number, since it is smaller than the sum of its proper divisors (32327442252).

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

13541205300 is a wasteful number, since it uses less digits than its factorization.

13541205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157338 (or 157331 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13541205300 its reverse (350214531), we get a palindrome (13891419831).

The spelling of 13541205300 in words is "thirteen billion, five hundred forty-one million, two hundred five thousand, three hundred".