1010103310093 has 2 divisors, whose sum is σ = 1010103310094. Its totient is φ = 1010103310092.

The previous prime is 1010103310091. The next prime is 1010103310187. The reversal of 1010103310093 is 3900133010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 907336261764 + 102767048329 = 952542^2 + 320573^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010103310093 - 2¹ = 1010103310091 is a prime.

Together with 1010103310091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010103310091) 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, 505051655046 + 505051655047.

It is an arithmetic number, because the mean of its divisors is an integer number (505051655047).

Almost surely, 2^{1010103310093} is an apocalyptic number.

It is an amenable number.

1010103310093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010103310093 is an equidigital number, since it uses as much as digits as its factorization.

1010103310093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1010103310093 its reverse (3900133010101), we get a palindrome (4910236320194).

The spelling of 1010103310093 in words is "one trillion, ten billion, one hundred three million, three hundred ten thousand, ninety-three".