1311134400005 has 32 divisors (see below), whose sum is σ = 1656946579680. Its totient is φ = 994674401280.

The previous prime is 1311134399959. The next prime is 1311134400019. The reversal of 1311134400005 is 5000044311131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 603303279076 + 707831120929 = 776726^2 + 841327^2 .

It is not a de Polignac number, because 1311134400005 - 2²⁸ = 1310865964549 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7567607 + ... + 7738923.

It is an arithmetic number, because the mean of its divisors is an integer number (51779580615).

Almost surely, 2^{1311134400005} is an apocalyptic number.

It is an amenable number.

1311134400005 is a deficient number, since it is larger than the sum of its proper divisors (345812179675).

1311134400005 is a wasteful number, since it uses less digits than its factorization.

1311134400005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172409.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1311134400005 its reverse (5000044311131), we get a palindrome (6311178711136).

The spelling of 1311134400005 in words is "one trillion, three hundred eleven billion, one hundred thirty-four million, four hundred thousand, five".