414101114311 has 2 divisors, whose sum is σ = 414101114312. Its totient is φ = 414101114310.

The previous prime is 414101114293. The next prime is 414101114351. The reversal of 414101114311 is 113411101414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414101114311 - 2¹¹ = 414101112263 is a prime.

It is a super-2 number, since 2×414101114311² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414101114351) 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, 207050557155 + 207050557156.

It is an arithmetic number, because the mean of its divisors is an integer number (207050557156).

Almost surely, 2^414101114311 is an apocalyptic number.

414101114311 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101114311 is an equidigital number, since it uses as much as digits as its factorization.

414101114311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 414101114311 its reverse (113411101414), we get a palindrome (527512215725).

The spelling of 414101114311 in words is "four hundred fourteen billion, one hundred one million, one hundred fourteen thousand, three hundred eleven".