414145203313 has 2 divisors, whose sum is σ = 414145203314. Its totient is φ = 414145203312.

The previous prime is 414145203293. The next prime is 414145203319. The reversal of 414145203313 is 313302541414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355492597824 + 58652605489 = 596232^2 + 242183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414145203313 is a prime.

It is a super-2 number, since 2×414145203313² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414145203319) 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, 207072601656 + 207072601657.

It is an arithmetic number, because the mean of its divisors is an integer number (207072601657).

Almost surely, 2^414145203313 is an apocalyptic number.

It is an amenable number.

414145203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

414145203313 is an equidigital number, since it uses as much as digits as its factorization.

414145203313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 414145203313 its reverse (313302541414), we get a palindrome (727447744727).

The spelling of 414145203313 in words is "four hundred fourteen billion, one hundred forty-five million, two hundred three thousand, three hundred thirteen".