31302333312113 has 2 divisors, whose sum is σ = 31302333312114. Its totient is φ = 31302333312112.

The previous prime is 31302333312073. The next prime is 31302333312127. The reversal of 31302333312113 is 31121333320313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24966581175649 + 6335752136464 = 4996657^2 + 2517092^2 .

It is a cyclic number.

It is not a de Polignac number, because 31302333312113 - 2⁶ = 31302333312049 is a prime.

It is not a weakly prime, because it can be changed into another prime (31302333312193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651166656056 + 15651166656057.

It is an arithmetic number, because the mean of its divisors is an integer number (15651166656057).

Almost surely, 2^{31302333312113} is an apocalyptic number.

It is an amenable number.

31302333312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302333312113 is an equidigital number, since it uses as much as digits as its factorization.

31302333312113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 31302333312113 its reverse (31121333320313), we get a palindrome (62423666632426).

The spelling of 31302333312113 in words is "thirty-one trillion, three hundred two billion, three hundred thirty-three million, three hundred twelve thousand, one hundred thirteen".