193182872114213 has 2 divisors, whose sum is σ = 193182872114214. Its totient is φ = 193182872114212.

The previous prime is 193182872114209. The next prime is 193182872114257. The reversal of 193182872114213 is 312411278281391.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147048049037569 + 46134823076644 = 12126337^2 + 6792262^2 .

It is a cyclic number.

It is not a de Polignac number, because 193182872114213 - 2² = 193182872114209 is a prime.

It is a super-3 number, since 3×193182872114213³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (193182872114273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96591436057106 + 96591436057107.

It is an arithmetic number, because the mean of its divisors is an integer number (96591436057107).

Almost surely, 2^{193182872114213} is an apocalyptic number.

It is an amenable number.

193182872114213 is a deficient number, since it is larger than the sum of its proper divisors (1).

193182872114213 is an equidigital number, since it uses as much as digits as its factorization.

193182872114213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 53.

The spelling of 193182872114213 in words is "one hundred ninety-three trillion, one hundred eighty-two billion, eight hundred seventy-two million, one hundred fourteen thousand, two hundred thirteen".