13366503224100 has 216 divisors, whose sum is σ = 45122080621800. Its totient is φ = 3290018826240.

The previous prime is 13366503224099. The next prime is 13366503224111. The reversal of 13366503224100 is 142230566331.

13366503224100 is a `hidden beast` number, since 1 + 3 + 366 + 50 + 3 + 2 + 241 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8809926295104 + 4556576928996 = 2968152^2 + 2134614^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 335173362 + ... + 335213238.

Almost surely, 2^{13366503224100} is an apocalyptic number.

13366503224100 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 13366503224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561040310900).

13366503224100 is an abundant number, since it is smaller than the sum of its proper divisors (31755577397700).

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

13366503224100 is a wasteful number, since it uses less digits than its factorization.

13366503224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68559 (or 68549 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13366503224100 in words is "thirteen trillion, three hundred sixty-six billion, five hundred three million, two hundred twenty-four thousand, one hundred".