199132013 has 2 divisors, whose sum is σ = 199132014. Its totient is φ = 199132012.

The previous prime is 199132001. The next prime is 199132019. The reversal of 199132013 is 310231991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102050404 + 97081609 = 10102^2 + 9853^2 .

It is an emirp because it is prime and its reverse (310231991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199132013 - 2²⁰ = 198083437 is a prime.

It is equal to p_11033498 and since 199132013 and 11033498 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199132019) 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 as a sum of consecutive naturals, namely, 99566006 + 99566007.

It is an arithmetic number, because the mean of its divisors is an integer number (99566007).

Almost surely, 2^199132013 is an apocalyptic number.

It is an amenable number.

199132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

199132013 is an equidigital number, since it uses as much as digits as its factorization.

199132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 199132013 is about 14111.4142806453. The cubic root of 199132013 is about 583.9563176888.

The spelling of 199132013 in words is "one hundred ninety-nine million, one hundred thirty-two thousand, thirteen".