31145054113 has 2 divisors, whose sum is σ = 31145054114. Its totient is φ = 31145054112.

The previous prime is 31145054111. The next prime is 31145054159.

31145054113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22490101089 + 8654953024 = 149967^2 + 93032^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31145054113 - 2¹ = 31145054111 is a prime.

Together with 31145054111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31145054111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15572527056 + 15572527057.

It is an arithmetic number, because the mean of its divisors is an integer number (15572527057).

Almost surely, 2^31145054113 is an apocalyptic number.

It is an amenable number.

31145054113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31145054113 is an equidigital number, since it uses as much as digits as its factorization.

31145054113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 311450 and 54113, that added together give a palindrome (365563).

The spelling of 31145054113 in words is "thirty-one billion, one hundred forty-five million, fifty-four thousand, one hundred thirteen".