1000103112361 has 2 divisors, whose sum is σ = 1000103112362. Its totient is φ = 1000103112360.

The previous prime is 1000103112319. The next prime is 1000103112377. The reversal of 1000103112361 is 1632113010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 533402358336 + 466700754025 = 730344^2 + 683155^2 .

It is an emirp because it is prime and its reverse (1632113010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000103112361 - 2¹⁷ = 1000102981289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000103112761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051556180 + 500051556181.

It is an arithmetic number, because the mean of its divisors is an integer number (500051556181).

Almost surely, 2^{1000103112361} is an apocalyptic number.

It is an amenable number.

1000103112361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000103112361 is an equidigital number, since it uses as much as digits as its factorization.

1000103112361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1000103112361 its reverse (1632113010001), we get a palindrome (2632216122362).

The spelling of 1000103112361 in words is "one trillion, one hundred three million, one hundred twelve thousand, three hundred sixty-one".