10001120013193 has 2 divisors, whose sum is σ = 10001120013194. Its totient is φ = 10001120013192.

The previous prime is 10001120013149. The next prime is 10001120013217. The reversal of 10001120013193 is 39131002110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6970428984649 + 3030691028544 = 2640157^2 + 1740888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001120013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001120013293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560006596 + 5000560006597.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560006597).

Almost surely, 2^{10001120013193} is an apocalyptic number.

It is an amenable number.

10001120013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120013193 is an equidigital number, since it uses as much as digits as its factorization.

10001120013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 10001120013193 its reverse (39131002110001), we get a palindrome (49132122123194).

The spelling of 10001120013193 in words is "ten trillion, one billion, one hundred twenty million, thirteen thousand, one hundred ninety-three".