314123430003041 has 2 divisors, whose sum is σ = 314123430003042. Its totient is φ = 314123430003040.

The previous prime is 314123430003017. The next prime is 314123430003043. The reversal of 314123430003041 is 140300034321413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313861793661025 + 261636342016 = 17716145^2 + 511504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314123430003041 is a prime.

Together with 314123430003043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314123430002995 and 314123430003013.

It is not a weakly prime, because it can be changed into another prime (314123430003043) 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, 157061715001520 + 157061715001521.

It is an arithmetic number, because the mean of its divisors is an integer number (157061715001521).

Almost surely, 2^{314123430003041} is an apocalyptic number.

It is an amenable number.

314123430003041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314123430003041 is an equidigital number, since it uses as much as digits as its factorization.

314123430003041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 314123430003041 its reverse (140300034321413), we get a palindrome (454423464324454).

The spelling of 314123430003041 in words is "three hundred fourteen trillion, one hundred twenty-three billion, four hundred thirty million, three thousand, forty-one".