13023120133233 has 24 divisors (see below), whose sum is σ = 21498662203200. Its totient is φ = 7441721257824.

The previous prime is 13023120133183. The next prime is 13023120133249. The reversal of 13023120133233 is 33233102132031.

13023120133233 is a `hidden beast` number, since 1 + 302 + 3 + 1 + 20 + 1 + 332 + 3 + 3 = 666.

13023120133233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13023120133233 - 2⁴¹ = 10824096877681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13023120133197 and 13023120133206.

It is not an unprimeable number, because it can be changed into a prime (13023120133253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7437703 + ... + 9020291.

It is an arithmetic number, because the mean of its divisors is an integer number (895777591800).

Almost surely, 2^{13023120133233} is an apocalyptic number.

It is an amenable number.

13023120133233 is a deficient number, since it is larger than the sum of its proper divisors (8475542069967).

13023120133233 is a wasteful number, since it uses less digits than its factorization.

13023120133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713221 (or 1713218 counting only the distinct ones).

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

Adding to 13023120133233 its reverse (33233102132031), we get a palindrome (46256222265264).

The spelling of 13023120133233 in words is "thirteen trillion, twenty-three billion, one hundred twenty million, one hundred thirty-three thousand, two hundred thirty-three".