200113312349 has 2 divisors, whose sum is σ = 200113312350. Its totient is φ = 200113312348.

The previous prime is 200113312319. The next prime is 200113312351. The reversal of 200113312349 is 943213311002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198568272100 + 1545040249 = 445610^2 + 39307^2 .

It is a cyclic number.

It is not a de Polignac number, because 200113312349 - 2⁸ = 200113312093 is a prime.

Together with 200113312351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200113312319) 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, 100056656174 + 100056656175.

It is an arithmetic number, because the mean of its divisors is an integer number (100056656175).

Almost surely, 2^200113312349 is an apocalyptic number.

It is an amenable number.

200113312349 is a deficient number, since it is larger than the sum of its proper divisors (1).

200113312349 is an equidigital number, since it uses as much as digits as its factorization.

200113312349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 200113312349 in words is "two hundred billion, one hundred thirteen million, three hundred twelve thousand, three hundred forty-nine".