414130204114031 has 2 divisors, whose sum is σ = 414130204114032. Its totient is φ = 414130204114030.

The previous prime is 414130204114013. The next prime is 414130204114043. The reversal of 414130204114031 is 130411402031414.

It is a happy number.

Together with previous prime (414130204114013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414130204114031 - 2¹⁸ = 414130203851887 is a prime.

It is a super-2 number, since 2×414130204114031² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 414130204113985 and 414130204114003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414130204114331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207065102057015 + 207065102057016.

It is an arithmetic number, because the mean of its divisors is an integer number (207065102057016).

Almost surely, 2^{414130204114031} is an apocalyptic number.

414130204114031 is a deficient number, since it is larger than the sum of its proper divisors (1).

414130204114031 is an equidigital number, since it uses as much as digits as its factorization.

414130204114031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 414130204114031 its reverse (130411402031414), we get a palindrome (544541606145445).

The spelling of 414130204114031 in words is "four hundred fourteen trillion, one hundred thirty billion, two hundred four million, one hundred fourteen thousand, thirty-one".