31160006113 has 2 divisors, whose sum is σ = 31160006114. Its totient is φ = 31160006112.

The previous prime is 31160006107. The next prime is 31160006117.

It is a happy number.

31160006113 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31091563584 + 68442529 = 176328^2 + 8273^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31160006113 - 2²¹ = 31157908961 is a prime.

It is not a weakly prime, because it can be changed into another prime (31160006117) 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, 15580003056 + 15580003057.

It is an arithmetic number, because the mean of its divisors is an integer number (15580003057).

Almost surely, 2^31160006113 is an apocalyptic number.

It is an amenable number.

31160006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31160006113 is an equidigital number, since it uses as much as digits as its factorization.

31160006113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 31160006113 in words is "thirty-one billion, one hundred sixty million, six thousand, one hundred thirteen".