414013322134033 has 2 divisors, whose sum is σ = 414013322134034. Its totient is φ = 414013322134032.

The previous prime is 414013322134031. The next prime is 414013322134057. The reversal of 414013322134033 is 330431223310414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406458784037329 + 7554538096704 = 20160823^2 + 2748552^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013322134033 - 2¹ = 414013322134031 is a prime.

Together with 414013322134031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 414013322134033.

It is not a weakly prime, because it can be changed into another prime (414013322134031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006661067016 + 207006661067017.

It is an arithmetic number, because the mean of its divisors is an integer number (207006661067017).

Almost surely, 2^{414013322134033} is an apocalyptic number.

It is an amenable number.

414013322134033 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013322134033 is an equidigital number, since it uses as much as digits as its factorization.

414013322134033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 414013322134033 its reverse (330431223310414), we get a palindrome (744444545444447).

The spelling of 414013322134033 in words is "four hundred fourteen trillion, thirteen billion, three hundred twenty-two million, one hundred thirty-four thousand, thirty-three".