31110113313101 has 2 divisors, whose sum is σ = 31110113313102. Its totient is φ = 31110113313100.

The previous prime is 31110113313077. The next prime is 31110113313151. The reversal of 31110113313101 is 10131331101113.

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., 29736834016201 + 1373279296900 = 5453149^2 + 1171870^2 .

It is an emirp because it is prime and its reverse (10131331101113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31110113313101 - 2¹⁰ = 31110113312077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31110113313151) 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, 15555056656550 + 15555056656551.

It is an arithmetic number, because the mean of its divisors is an integer number (15555056656551).

Almost surely, 2^{31110113313101} is an apocalyptic number.

It is an amenable number.

31110113313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31110113313101 is an equidigital number, since it uses as much as digits as its factorization.

31110113313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 31110113313101 its reverse (10131331101113), we get a palindrome (41241444414214).

The spelling of 31110113313101 in words is "thirty-one trillion, one hundred ten billion, one hundred thirteen million, three hundred thirteen thousand, one hundred one".