1311101300405 has 32 divisors (see below), whose sum is σ = 1726524416736. Its totient is φ = 949814820864.

The previous prime is 1311101300359. The next prime is 1311101300423. The reversal of 1311101300405 is 5040031011131.

It can be written as a sum of positive squares in 16 ways, for example, as 10046253361 + 1301055047044 = 100231^2 + 1140638^2 .

It is not a de Polignac number, because 1311101300405 - 2⁴⁰ = 211589672629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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, 37026389 + ... + 37061781.

It is an arithmetic number, because the mean of its divisors is an integer number (53953888023).

Almost surely, 2^{1311101300405} is an apocalyptic number.

It is an amenable number.

1311101300405 is a deficient number, since it is larger than the sum of its proper divisors (415423116331).

1311101300405 is a wasteful number, since it uses less digits than its factorization.

1311101300405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46217.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 1311101300405 its reverse (5040031011131), we get a palindrome (6351132311536).

The spelling of 1311101300405 in words is "one trillion, three hundred eleven billion, one hundred one million, three hundred thousand, four hundred five".