13197198201 has 128 divisors (see below), whose sum is σ = 21605253120. Its totient is φ = 7076160000.

The previous prime is 13197198191. The next prime is 13197198227. The reversal of 13197198201 is 10289179131.

13197198201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13197198201 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13197198251) 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 127 ways as a sum of consecutive naturals, for example, 100741906 + ... + 100742036.

It is an arithmetic number, because the mean of its divisors is an integer number (168791040).

Almost surely, 2^13197198201 is an apocalyptic number.

13197198201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13197198201 is a deficient number, since it is larger than the sum of its proper divisors (8408054919).

13197198201 is a wasteful number, since it uses less digits than its factorization.

13197198201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 13197198201 in words is "thirteen billion, one hundred ninety-seven million, one hundred ninety-eight thousand, two hundred one".