434123122313 has 2 divisors, whose sum is σ = 434123122314. Its totient is φ = 434123122312.

The previous prime is 434123122291. The next prime is 434123122327. The reversal of 434123122313 is 313221321434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423159357049 + 10963765264 = 650507^2 + 104708^2 .

It is a cyclic number.

It is not a de Polignac number, because 434123122313 - 2³⁸ = 159245215369 is a prime.

It is not a weakly prime, because it can be changed into another prime (434123122513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217061561156 + 217061561157.

It is an arithmetic number, because the mean of its divisors is an integer number (217061561157).

Almost surely, 2^434123122313 is an apocalyptic number.

It is an amenable number.

434123122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

434123122313 is an equidigital number, since it uses as much as digits as its factorization.

434123122313 is an evil number, because the sum of its binary digits is even.

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

Adding to 434123122313 its reverse (313221321434), we get a palindrome (747344443747).

The spelling of 434123122313 in words is "four hundred thirty-four billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred thirteen".