1311241355505 has 12 divisors (see below), whose sum is σ = 2272818349620. Its totient is φ = 699328722912.

The previous prime is 1311241355447. The next prime is 1311241355507. The reversal of 1311241355505 is 5055531421131.

1311241355505 is a `hidden beast` number, since 1 + 3 + 1 + 12 + 4 + 135 + 5 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 432295730064 + 878945625441 = 657492^2 + 937521^2 .

It is not a de Polignac number, because 1311241355505 - 2¹³ = 1311241347313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1311241355505.

It is not an unprimeable number, because it can be changed into a prime (1311241355507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14569348350 + ... + 14569348439.

It is an arithmetic number, because the mean of its divisors is an integer number (189401529135).

Almost surely, 2^{1311241355505} is an apocalyptic number.

1311241355505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311241355505 is a deficient number, since it is larger than the sum of its proper divisors (961576994115).

1311241355505 is a wasteful number, since it uses less digits than its factorization.

1311241355505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29138696800 (or 29138696797 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 1311241355505 its reverse (5055531421131), we get a palindrome (6366772776636).

The spelling of 1311241355505 in words is "one trillion, three hundred eleven billion, two hundred forty-one million, three hundred fifty-five thousand, five hundred five".