30412334431313 has 2 divisors, whose sum is σ = 30412334431314. Its totient is φ = 30412334431312.

The previous prime is 30412334431307. The next prime is 30412334431319. The reversal of 30412334431313 is 31313443321403.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (30412334431307) and next prime (30412334431319).

It can be written as a sum of positive squares in only one way, i.e., 26343048972304 + 4069285459009 = 5132548^2 + 2017247^2 .

It is an emirp because it is prime and its reverse (31313443321403) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 30412334431313 - 2²⁴ = 30412317654097 is a prime.

It is a super-2 number, since 2×30412334431313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (30412334431319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15206167215656 + 15206167215657.

It is an arithmetic number, because the mean of its divisors is an integer number (15206167215657).

Almost surely, 2^{30412334431313} is an apocalyptic number.

It is an amenable number.

30412334431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

30412334431313 is an equidigital number, since it uses as much as digits as its factorization.

30412334431313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 30412334431313 its reverse (31313443321403), we get a palindrome (61725777752716).

The spelling of 30412334431313 in words is "thirty trillion, four hundred twelve billion, three hundred thirty-four million, four hundred thirty-one thousand, three hundred thirteen".