13300536536100 has 576 divisors, whose sum is σ = 48286709452800. Its totient is φ = 3111103296000.

The previous prime is 13300536536087. The next prime is 13300536536101. The reversal of 13300536536100 is 163563500331.

13300536536100 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 5 + 36 + 5 + 3 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13300536536101) 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 191 ways as a sum of consecutive naturals, for example, 1559810037 + ... + 1559818563.

It is an arithmetic number, because the mean of its divisors is an integer number (83831092800).

Almost surely, 2^{13300536536100} is an apocalyptic number.

13300536536100 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 13300536536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24143354726400).

13300536536100 is an abundant number, since it is smaller than the sum of its proper divisors (34986172916700).

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

13300536536100 is a wasteful number, since it uses less digits than its factorization.

13300536536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 13300536536100 in words is "thirteen trillion, three hundred billion, five hundred thirty-six million, five hundred thirty-six thousand, one hundred".