1023113210117 has 2 divisors, whose sum is σ = 1023113210118. Its totient is φ = 1023113210116.

The previous prime is 1023113210107. The next prime is 1023113210137. The reversal of 1023113210117 is 7110123113201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020370697956 + 2742512161 = 1010134^2 + 52369^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023113210117 - 2¹⁰ = 1023113209093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023113210092 and 1023113210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023113210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511556605058 + 511556605059.

It is an arithmetic number, because the mean of its divisors is an integer number (511556605059).

Almost surely, 2^{1023113210117} is an apocalyptic number.

It is an amenable number.

1023113210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023113210117 is an equidigital number, since it uses as much as digits as its factorization.

1023113210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 1023113210117 its reverse (7110123113201), we get a palindrome (8133236323318).

The spelling of 1023113210117 in words is "one trillion, twenty-three billion, one hundred thirteen million, two hundred ten thousand, one hundred seventeen".