101303041033 has 2 divisors, whose sum is σ = 101303041034. Its totient is φ = 101303041032.

The previous prime is 101303041031. The next prime is 101303041159. The reversal of 101303041033 is 330140303101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82798336009 + 18504705024 = 287747^2 + 136032^2 .

It is a cyclic number.

It is not a de Polignac number, because 101303041033 - 2¹ = 101303041031 is a prime.

It is a super-2 number, since 2×101303041033² (a number of 23 digits) contains 22 as substring.

Together with 101303041031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101303041033.

It is not a weakly prime, because it can be changed into another prime (101303041031) 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, 50651520516 + 50651520517.

It is an arithmetic number, because the mean of its divisors is an integer number (50651520517).

Almost surely, 2^101303041033 is an apocalyptic number.

It is an amenable number.

101303041033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303041033 is an equidigital number, since it uses as much as digits as its factorization.

101303041033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101303041033 its reverse (330140303101), we get a palindrome (431443344134).

The spelling of 101303041033 in words is "one hundred one billion, three hundred three million, forty-one thousand, thirty-three".