31211031122113 has 2 divisors, whose sum is σ = 31211031122114. Its totient is φ = 31211031122112.

The previous prime is 31211031122099. The next prime is 31211031122153. The reversal of 31211031122113 is 31122113011213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31009172313744 + 201858808369 = 5568588^2 + 449287^2 .

It is a cyclic number.

It is not a de Polignac number, because 31211031122113 - 2¹³ = 31211031113921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31211031122153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15605515561056 + 15605515561057.

It is an arithmetic number, because the mean of its divisors is an integer number (15605515561057).

Almost surely, 2^{31211031122113} is an apocalyptic number.

It is an amenable number.

31211031122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31211031122113 is an equidigital number, since it uses as much as digits as its factorization.

31211031122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 31211031122113 its reverse (31122113011213), we get a palindrome (62333144133326).

The spelling of 31211031122113 in words is "thirty-one trillion, two hundred eleven billion, thirty-one million, one hundred twenty-two thousand, one hundred thirteen".