414103131289 has 2 divisors, whose sum is σ = 414103131290. Its totient is φ = 414103131288.

The previous prime is 414103131191. The next prime is 414103131341. The reversal of 414103131289 is 982131301414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414102546064 + 585225 = 643508^2 + 765^2 .

It is a cyclic number.

It is not a de Polignac number, because 414103131289 - 2⁷ = 414103131161 is a prime.

It is not a weakly prime, because it can be changed into another prime (414103131389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207051565644 + 207051565645.

It is an arithmetic number, because the mean of its divisors is an integer number (207051565645).

Almost surely, 2^414103131289 is an apocalyptic number.

It is an amenable number.

414103131289 is a deficient number, since it is larger than the sum of its proper divisors (1).

414103131289 is an equidigital number, since it uses as much as digits as its factorization.

414103131289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 414103131289 in words is "four hundred fourteen billion, one hundred three million, one hundred thirty-one thousand, two hundred eighty-nine".