31101100212317 has 2 divisors, whose sum is σ = 31101100212318. Its totient is φ = 31101100212316.

The previous prime is 31101100212271. The next prime is 31101100212323. The reversal of 31101100212317 is 71321200110113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25009710942841 + 6091389269476 = 5000971^2 + 2468074^2 .

It is an emirp because it is prime and its reverse (71321200110113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31101100212317 - 2²⁶ = 31101033103453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31101100212292 and 31101100212301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31101100212397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550550106158 + 15550550106159.

It is an arithmetic number, because the mean of its divisors is an integer number (15550550106159).

Almost surely, 2^{31101100212317} is an apocalyptic number.

It is an amenable number.

31101100212317 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101100212317 is an equidigital number, since it uses as much as digits as its factorization.

31101100212317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 31101100212317 in words is "thirty-one trillion, one hundred one billion, one hundred million, two hundred twelve thousand, three hundred seventeen".