1013003103193 has 2 divisors, whose sum is σ = 1013003103194. Its totient is φ = 1013003103192.

The previous prime is 1013003103169. The next prime is 1013003103197. The reversal of 1013003103193 is 3913013003101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719421186969 + 293581916224 = 848187^2 + 541832^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013003103193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013003103197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506501551596 + 506501551597.

It is an arithmetic number, because the mean of its divisors is an integer number (506501551597).

Almost surely, 2^{1013003103193} is an apocalyptic number.

It is an amenable number.

1013003103193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013003103193 is an equidigital number, since it uses as much as digits as its factorization.

1013003103193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 1013003103193 its reverse (3913013003101), we get a palindrome (4926016106294).

The spelling of 1013003103193 in words is "one trillion, thirteen billion, three million, one hundred three thousand, one hundred ninety-three".