81332325413201 has 2 divisors, whose sum is σ = 81332325413202. Its totient is φ = 81332325413200.

The previous prime is 81332325413197. The next prime is 81332325413231. The reversal of 81332325413201 is 10231452323318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71743864530625 + 9588460882576 = 8470175^2 + 3096524^2 .

It is a cyclic number.

It is not a de Polignac number, because 81332325413201 - 2² = 81332325413197 is a prime.

It is a super-2 number, since 2×81332325413201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (81332325413231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40666162706600 + 40666162706601.

It is an arithmetic number, because the mean of its divisors is an integer number (40666162706601).

Almost surely, 2^{81332325413201} is an apocalyptic number.

It is an amenable number.

81332325413201 is a deficient number, since it is larger than the sum of its proper divisors (1).

81332325413201 is an equidigital number, since it uses as much as digits as its factorization.

81332325413201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 81332325413201 its reverse (10231452323318), we get a palindrome (91563777736519).

The spelling of 81332325413201 in words is "eighty-one trillion, three hundred thirty-two billion, three hundred twenty-five million, four hundred thirteen thousand, two hundred one".