93303330041101 has 2 divisors, whose sum is σ = 93303330041102. Its totient is φ = 93303330041100.

The previous prime is 93303330041063. The next prime is 93303330041123. The reversal of 93303330041101 is 10114003330339.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53074882133001 + 40228447908100 = 7285251^2 + 6342590^2 .

It is an emirp because it is prime and its reverse (10114003330339) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93303330041101 - 2²¹ = 93303327943949 is a prime.

It is a super-2 number, since 2×93303330041101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93303330041501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46651665020550 + 46651665020551.

It is an arithmetic number, because the mean of its divisors is an integer number (46651665020551).

Almost surely, 2^{93303330041101} is an apocalyptic number.

It is an amenable number.

93303330041101 is a deficient number, since it is larger than the sum of its proper divisors (1).

93303330041101 is an equidigital number, since it uses as much as digits as its factorization.

93303330041101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 93303330041101 in words is "ninety-three trillion, three hundred three billion, three hundred thirty million, forty-one thousand, one hundred one".