11023330304133 has 24 divisors (see below), whose sum is σ = 18222069460608. Its totient is φ = 6290452347552.

The previous prime is 11023330304081. The next prime is 11023330304149. The reversal of 11023330304133 is 33140303332011.

11023330304133 is a `hidden beast` number, since 1 + 1 + 0 + 23 + 330 + 304 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 11023330304133 - 2⁸ = 11023330303877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11023330304097 and 11023330304106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023330304533) 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 23 ways as a sum of consecutive naturals, for example, 119308185 + ... + 119400542.

It is an arithmetic number, because the mean of its divisors is an integer number (759252894192).

Almost surely, 2^{11023330304133} is an apocalyptic number.

It is an amenable number.

11023330304133 is a deficient number, since it is larger than the sum of its proper divisors (7198739156475).

11023330304133 is a wasteful number, since it uses less digits than its factorization.

11023330304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238709473 (or 238709470 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11023330304133 its reverse (33140303332011), we get a palindrome (44163633636144).

The spelling of 11023330304133 in words is "eleven trillion, twenty-three billion, three hundred thirty million, three hundred four thousand, one hundred thirty-three".