1144113122133 has 16 divisors (see below), whose sum is σ = 1698462879360. Its totient is φ = 761175867168.

The previous prime is 1144113122099. The next prime is 1144113122161. The reversal of 1144113122133 is 3312213114411.

1144113122133 is a `hidden beast` number, since 1 + 1 + 4 + 411 + 31 + 2 + 213 + 3 = 666.

It is not a de Polignac number, because 1144113122133 - 2¹⁷ = 1144112991061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1144113122097 and 1144113122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144113122233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43492560 + ... + 43518857.

It is an arithmetic number, because the mean of its divisors is an integer number (106153929960).

Almost surely, 2^{1144113122133} is an apocalyptic number.

It is an amenable number.

1144113122133 is a deficient number, since it is larger than the sum of its proper divisors (554349757227).

1144113122133 is an equidigital number, since it uses as much as digits as its factorization.

1144113122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87011913 (or 87011907 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1144113122133 its reverse (3312213114411), we get a palindrome (4456326236544).

The spelling of 1144113122133 in words is "one trillion, one hundred forty-four billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-three".