10013548216193 has 2 divisors, whose sum is σ = 10013548216194. Its totient is φ = 10013548216192.

The previous prime is 10013548216171. The next prime is 10013548216201. The reversal of 10013548216193 is 39161284531001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8600711693809 + 1412836522384 = 2932697^2 + 1188628^2 .

It is an emirp because it is prime and its reverse (39161284531001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10013548216193 - 2⁶ = 10013548216129 is a prime.

It is a super-2 number, since 2×10013548216193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013548216103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006774108096 + 5006774108097.

It is an arithmetic number, because the mean of its divisors is an integer number (5006774108097).

Almost surely, 2^{10013548216193} is an apocalyptic number.

It is an amenable number.

10013548216193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013548216193 is an equidigital number, since it uses as much as digits as its factorization.

10013548216193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 10013548216193 in words is "ten trillion, thirteen billion, five hundred forty-eight million, two hundred sixteen thousand, one hundred ninety-three".