1305431440105 has 32 divisors (see below), whose sum is σ = 1745932356000. Its totient is φ = 930374387712.

The previous prime is 1305431440099. The next prime is 1305431440129. The reversal of 1305431440105 is 5010441345031.

It can be written as a sum of positive squares in 16 ways, for example, as 995578897369 + 309852542736 = 997787^2 + 556644^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305431440105 - 2³ = 1305431440097 is a prime.

It is a super-2 number, since 2×1305431440105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4334971 + ... + 4626319.

It is an arithmetic number, because the mean of its divisors is an integer number (54560386125).

Almost surely, 2^{1305431440105} is an apocalyptic number.

It is an amenable number.

1305431440105 is a deficient number, since it is larger than the sum of its proper divisors (440500915895).

1305431440105 is a wasteful number, since it uses less digits than its factorization.

1305431440105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293773.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1305431440105 its reverse (5010441345031), we get a palindrome (6315872785136).

The spelling of 1305431440105 in words is "one trillion, three hundred five billion, four hundred thirty-one million, four hundred forty thousand, one hundred five".