331000111111081 has 2 divisors, whose sum is σ = 331000111111082. Its totient is φ = 331000111111080.

The previous prime is 331000111111067. The next prime is 331000111111093. The reversal of 331000111111081 is 180111111000133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208232403667600 + 122767707443481 = 14430260^2 + 11080059^2 .

It is a cyclic number.

It is not a de Polignac number, because 331000111111081 - 2⁵ = 331000111111049 is a prime.

It is a super-3 number, since 3×331000111111081³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (331000111711081) 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, 165500055555540 + 165500055555541.

It is an arithmetic number, because the mean of its divisors is an integer number (165500055555541).

Almost surely, 2^{331000111111081} is an apocalyptic number.

It is an amenable number.

331000111111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000111111081 is an equidigital number, since it uses as much as digits as its factorization.

331000111111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 331000111111081 in words is "three hundred thirty-one trillion, one hundred eleven million, one hundred eleven thousand, eighty-one".