12200100133 has 8 divisors (see below), whose sum is σ = 13911426648. Its totient is φ = 10599181824.

The previous prime is 12200100119. The next prime is 12200100163. The reversal of 12200100133 is 33100100221.

12200100133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 522488164 + 11677611969 = 22858^2 + 108063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12200100133 - 2²¹ = 12198002981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200100163) 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 7 ways as a sum of consecutive naturals, for example, 27601816 + ... + 27602257.

It is an arithmetic number, because the mean of its divisors is an integer number (1738928331).

Almost surely, 2^12200100133 is an apocalyptic number.

12200100133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12200100133 is a deficient number, since it is larger than the sum of its proper divisors (1711326515).

12200100133 is a wasteful number, since it uses less digits than its factorization.

12200100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55204103.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12200100133 its reverse (33100100221), we get a palindrome (45300200354).

The spelling of 12200100133 in words is "twelve billion, two hundred million, one hundred thousand, one hundred thirty-three".