31320313100113 has 2 divisors, whose sum is σ = 31320313100114. Its totient is φ = 31320313100112.

The previous prime is 31320313100107. The next prime is 31320313100129. The reversal of 31320313100113 is 31100131302313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19802081702209 + 11518231397904 = 4449953^2 + 3393852^2 .

It is a cyclic number.

It is not a de Polignac number, because 31320313100113 - 2⁹ = 31320313099601 is a prime.

It is a super-2 number, since 2×31320313100113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31320313106113) 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, 15660156550056 + 15660156550057.

It is an arithmetic number, because the mean of its divisors is an integer number (15660156550057).

Almost surely, 2^{31320313100113} is an apocalyptic number.

It is an amenable number.

31320313100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31320313100113 is an equidigital number, since it uses as much as digits as its factorization.

31320313100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 31320313100113 its reverse (31100131302313), we get a palindrome (62420444402426).

The spelling of 31320313100113 in words is "thirty-one trillion, three hundred twenty billion, three hundred thirteen million, one hundred thousand, one hundred thirteen".