13123121333 has 16 divisors (see below), whose sum is σ = 15091090560. Its totient is φ = 11178542400.

The previous prime is 13123121329. The next prime is 13123121399. The reversal of 13123121333 is 33312132131.

13123121333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13123121333 - 2² = 13123121329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123121299 and 13123121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123141333) 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 15 ways as a sum of consecutive naturals, for example, 3432563 + ... + 3436383.

It is an arithmetic number, because the mean of its divisors is an integer number (943193160).

Almost surely, 2^13123121333 is an apocalyptic number.

It is an amenable number.

13123121333 is a deficient number, since it is larger than the sum of its proper divisors (1967969227).

13123121333 is a wasteful number, since it uses less digits than its factorization.

13123121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748.

The product of its digits is 972, while the sum is 23.

Adding to 13123121333 its reverse (33312132131), we get a palindrome (46435253464).

The spelling of 13123121333 in words is "thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-three".