106253310232313 has 2 divisors, whose sum is σ = 106253310232314. Its totient is φ = 106253310232312.

The previous prime is 106253310232291. The next prime is 106253310232327. The reversal of 106253310232313 is 313232013352601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92596124345344 + 13657185886969 = 9622688^2 + 3695563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106253310232313 is a prime.

It is a super-2 number, since 2×106253310232313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106253310232813) 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, 53126655116156 + 53126655116157.

It is an arithmetic number, because the mean of its divisors is an integer number (53126655116157).

Almost surely, 2^{106253310232313} is an apocalyptic number.

It is an amenable number.

106253310232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106253310232313 is an equidigital number, since it uses as much as digits as its factorization.

106253310232313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 35.

Adding to 106253310232313 its reverse (313232013352601), we get a palindrome (419485323584914).

The spelling of 106253310232313 in words is "one hundred six trillion, two hundred fifty-three billion, three hundred ten million, two hundred thirty-two thousand, three hundred thirteen".