414321331031 has 2 divisors, whose sum is σ = 414321331032. Its totient is φ = 414321331030.

The previous prime is 414321331001. The next prime is 414321331033. The reversal of 414321331031 is 130133123414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414321331031 - 2²⁶ = 414254222167 is a prime.

It is a super-2 number, since 2×414321331031² (a number of 24 digits) contains 22 as substring.

Together with 414321331033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414321331033) 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, 207160665515 + 207160665516.

It is an arithmetic number, because the mean of its divisors is an integer number (207160665516).

Almost surely, 2^414321331031 is an apocalyptic number.

414321331031 is a deficient number, since it is larger than the sum of its proper divisors (1).

414321331031 is an equidigital number, since it uses as much as digits as its factorization.

414321331031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 414321331031 its reverse (130133123414), we get a palindrome (544454454445).

The spelling of 414321331031 in words is "four hundred fourteen billion, three hundred twenty-one million, three hundred thirty-one thousand, thirty-one".