198219901013 has 2 divisors, whose sum is σ = 198219901014. Its totient is φ = 198219901012.

The previous prime is 198219900959. The next prime is 198219901031. The reversal of 198219901013 is 310109912891.

198219901013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (198219901031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154863499729 + 43356401284 = 393527^2 + 208222^2 .

It is a cyclic number.

It is not a de Polignac number, because 198219901013 - 2¹⁶ = 198219835477 is a prime.

It is a super-2 number, since 2×198219901013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198219901073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99109950506 + 99109950507.

It is an arithmetic number, because the mean of its divisors is an integer number (99109950507).

Almost surely, 2^198219901013 is an apocalyptic number.

It is an amenable number.

198219901013 is a deficient number, since it is larger than the sum of its proper divisors (1).

198219901013 is an equidigital number, since it uses as much as digits as its factorization.

198219901013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 44.

The spelling of 198219901013 in words is "one hundred ninety-eight billion, two hundred nineteen million, nine hundred one thousand, thirteen".