1013113310093 has 2 divisors, whose sum is σ = 1013113310094. Its totient is φ = 1013113310092.

The previous prime is 1013113310087. The next prime is 1013113310117. The reversal of 1013113310093 is 3900133113101.

1013113310093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1011396285124 + 1717024969 = 1005682^2 + 41437^2 .

It is an emirp because it is prime and its reverse (3900133113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013113310093 - 2⁶ = 1013113310029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013113310003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506556655046 + 506556655047.

It is an arithmetic number, because the mean of its divisors is an integer number (506556655047).

Almost surely, 2^{1013113310093} is an apocalyptic number.

It is an amenable number.

1013113310093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013113310093 is an equidigital number, since it uses as much as digits as its factorization.

1013113310093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 26.

Adding to 1013113310093 its reverse (3900133113101), we get a palindrome (4913246423194).

The spelling of 1013113310093 in words is "one trillion, thirteen billion, one hundred thirteen million, three hundred ten thousand, ninety-three".