11123313230133 has 320 divisors, whose sum is σ = 20302578616320. Its totient is φ = 6001280409600.

The previous prime is 11123313230069. The next prime is 11123313230173. The reversal of 11123313230133 is 33103231332111.

11123313230133 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 331 + 323 + 0 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 11123313230133 - 2⁶ = 11123313230069 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 = 11123313230097 and 11123313230106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123313230173) 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 319 ways as a sum of consecutive naturals, for example, 1732330263 + ... + 1732336683.

It is an arithmetic number, because the mean of its divisors is an integer number (63445558176).

Almost surely, 2^{11123313230133} is an apocalyptic number.

11123313230133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11123313230133 is a deficient number, since it is larger than the sum of its proper divisors (9179265386187).

11123313230133 is a wasteful number, since it uses less digits than its factorization.

11123313230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11123313230133 its reverse (33103231332111), we get a palindrome (44226544562244).

The spelling of 11123313230133 in words is "eleven trillion, one hundred twenty-three billion, three hundred thirteen million, two hundred thirty thousand, one hundred thirty-three".