1311145554133 has 16 divisors (see below), whose sum is σ = 1341379583856. Its totient is φ = 1281122851840.

The previous prime is 1311145554127. The next prime is 1311145554167. The reversal of 1311145554133 is 3314555411131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16153901604 + 1294991652529 = 127098^2 + 1137977^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1311145554133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311145554092 and 1311145554101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311145558133) 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, 17789085 + ... + 17862637.

It is an arithmetic number, because the mean of its divisors is an integer number (83836223991).

Almost surely, 2^{1311145554133} is an apocalyptic number.

It is an amenable number.

1311145554133 is a deficient number, since it is larger than the sum of its proper divisors (30234029723).

1311145554133 is a wasteful number, since it uses less digits than its factorization.

1311145554133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74984.

The product of its digits is 54000, while the sum is 37.

The spelling of 1311145554133 in words is "one trillion, three hundred eleven billion, one hundred forty-five million, five hundred fifty-four thousand, one hundred thirty-three".