111333300641 has 2 divisors, whose sum is σ = 111333300642. Its totient is φ = 111333300640.

The previous prime is 111333300553. The next prime is 111333300643. The reversal of 111333300641 is 146003333111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77462579041 + 33870721600 = 278321^2 + 184040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111333300641 is a prime.

Together with 111333300643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111333300641.

It is not a weakly prime, because it can be changed into another prime (111333300643) 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, 55666650320 + 55666650321.

It is an arithmetic number, because the mean of its divisors is an integer number (55666650321).

Almost surely, 2^111333300641 is an apocalyptic number.

It is an amenable number.

111333300641 is a deficient number, since it is larger than the sum of its proper divisors (1).

111333300641 is an equidigital number, since it uses as much as digits as its factorization.

111333300641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 111333300641 its reverse (146003333111), we get a palindrome (257336633752).

The spelling of 111333300641 in words is "one hundred eleven billion, three hundred thirty-three million, three hundred thousand, six hundred forty-one".