10305352213181 has 2 divisors, whose sum is σ = 10305352213182. Its totient is φ = 10305352213180.

The previous prime is 10305352213133. The next prime is 10305352213207. The reversal of 10305352213181 is 18131225350301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10305095124025 + 257089156 = 3210155^2 + 16034^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305352213181 - 2³⁴ = 10288172343997 is a prime.

It is a super-2 number, since 2×10305352213181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10305352213111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152676106590 + 5152676106591.

It is an arithmetic number, because the mean of its divisors is an integer number (5152676106591).

Almost surely, 2^{10305352213181} is an apocalyptic number.

It is an amenable number.

10305352213181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305352213181 is an equidigital number, since it uses as much as digits as its factorization.

10305352213181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 10305352213181 its reverse (18131225350301), we get a palindrome (28436577563482).

The spelling of 10305352213181 in words is "ten trillion, three hundred five billion, three hundred fifty-two million, two hundred thirteen thousand, one hundred eighty-one".