13200133100220 has 1152 divisors, whose sum is σ = 51166599644160. Its totient is φ = 2711392911360.

The previous prime is 13200133100197. The next prime is 13200133100251. The reversal of 13200133100220 is 2200133100231.

13200133100220 is a `hidden beast` number, since 1 + 320 + 0 + 13 + 310 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13200133100193 and 13200133100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1017501654 + ... + 1017514626.

It is an arithmetic number, because the mean of its divisors is an integer number (44415451080).

Almost surely, 2^{13200133100220} is an apocalyptic number.

13200133100220 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 13200133100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583299822080).

13200133100220 is an abundant number, since it is smaller than the sum of its proper divisors (37966466543940).

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

13200133100220 is a wasteful number, since it uses less digits than its factorization.

13200133100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13200133100220 its reverse (2200133100231), we get a palindrome (15400266200451).

The spelling of 13200133100220 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, one hundred thousand, two hundred twenty".