101321312032181 has 2 divisors, whose sum is σ = 101321312032182. Its totient is φ = 101321312032180.

The previous prime is 101321312032153. The next prime is 101321312032223. The reversal of 101321312032181 is 181230213123101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72525917926225 + 28795394105956 = 8516215^2 + 5366134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101321312032181 is a prime.

It is a super-3 number, since 3×101321312032181³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321312082181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660656016090 + 50660656016091.

It is an arithmetic number, because the mean of its divisors is an integer number (50660656016091).

Almost surely, 2^{101321312032181} is an apocalyptic number.

It is an amenable number.

101321312032181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321312032181 is an equidigital number, since it uses as much as digits as its factorization.

101321312032181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 101321312032181 its reverse (181230213123101), we get a palindrome (282551525155282).

The spelling of 101321312032181 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, thirty-two thousand, one hundred eighty-one".