1305422242311 has 16 divisors (see below), whose sum is σ = 1898815097088. Its totient is φ = 791157033600.

The previous prime is 1305422242279. The next prime is 1305422242351. The reversal of 1305422242311 is 1132422245031.

It is a happy number.

It is not a de Polignac number, because 1305422242311 - 2⁵ = 1305422242279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305422242351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6208870 + ... + 6415676.

It is an arithmetic number, because the mean of its divisors is an integer number (118675943568).

Almost surely, 2^{1305422242311} is an apocalyptic number.

1305422242311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1305422242311 is a deficient number, since it is larger than the sum of its proper divisors (593392854777).

1305422242311 is a wasteful number, since it uses less digits than its factorization.

1305422242311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398102.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1305422242311 its reverse (1132422245031), we get a palindrome (2437844487342).

The spelling of 1305422242311 in words is "one trillion, three hundred five billion, four hundred twenty-two million, two hundred forty-two thousand, three hundred eleven".