101331311312111 has 2 divisors, whose sum is σ = 101331311312112. Its totient is φ = 101331311312110.

The previous prime is 101331311312089. The next prime is 101331311312183. The reversal of 101331311312111 is 111213113133101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331311312111 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331311312311) 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, 50665655656055 + 50665655656056.

It is an arithmetic number, because the mean of its divisors is an integer number (50665655656056).

Almost surely, 2^{101331311312111} is an apocalyptic number.

101331311312111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331311312111 is an equidigital number, since it uses as much as digits as its factorization.

101331311312111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

Adding to 101331311312111 its reverse (111213113133101), we get a palindrome (212544424445212).

The spelling of 101331311312111 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred eleven million, three hundred twelve thousand, one hundred eleven".