10311201022193 has 2 divisors, whose sum is σ = 10311201022194. Its totient is φ = 10311201022192.

The previous prime is 10311201022163. The next prime is 10311201022201. The reversal of 10311201022193 is 39122010211301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9881824870369 + 429376151824 = 3143537^2 + 655268^2 .

It is an emirp because it is prime and its reverse (39122010211301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10311201022193 - 2²⁸ = 10310932586737 is a prime.

It is a super-3 number, since 3×10311201022193³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10311201022163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600511096 + 5155600511097.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600511097).

Almost surely, 2^{10311201022193} is an apocalyptic number.

It is an amenable number.

10311201022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311201022193 is an equidigital number, since it uses as much as digits as its factorization.

10311201022193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 10311201022193 its reverse (39122010211301), we get a palindrome (49433211233494).

The spelling of 10311201022193 in words is "ten trillion, three hundred eleven billion, two hundred one million, twenty-two thousand, one hundred ninety-three".