1133110400013 has 12 divisors (see below), whose sum is σ = 1651730757820. Its totient is φ = 748476593856.

The previous prime is 1133110399999. The next prime is 1133110400027. The reversal of 1133110400013 is 3100040113311.

It is an interprime number because it is at equal distance from previous prime (1133110399999) and next prime (1133110400027).

It can be written as a sum of positive squares in 2 ways, for example, as 272841164964 + 860269235049 = 522342^2 + 927507^2 .

It is not a de Polignac number, because 1133110400013 - 2¹⁰ = 1133110398989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133110400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577527256 + ... + 577529217.

Almost surely, 2^{1133110400013} is an apocalyptic number.

It is an amenable number.

1133110400013 is a deficient number, since it is larger than the sum of its proper divisors (518620357807).

1133110400013 is a wasteful number, since it uses less digits than its factorization.

1133110400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155056588 (or 1155056585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1133110400013 its reverse (3100040113311), we get a palindrome (4233150513324).

The spelling of 1133110400013 in words is "one trillion, one hundred thirty-three billion, one hundred ten million, four hundred thousand, thirteen".