13331133123 has 32 divisors (see below), whose sum is σ = 22170071040. Its totient is φ = 6922380960.

The previous prime is 13331133113. The next prime is 13331133133. The reversal of 13331133123 is 32133113331.

13331133123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13331133113) and next prime (13331133133).

It is not a de Polignac number, because 13331133123 - 2⁴ = 13331133107 is a prime.

It is a super-2 number, since 2×13331133123² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13331133093 and 13331133102.

It is not an unprimeable number, because it can be changed into a prime (13331133113) 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 31 ways as a sum of consecutive naturals, for example, 614658 + ... + 635976.

It is an arithmetic number, because the mean of its divisors is an integer number (692814720).

Almost surely, 2^13331133123 is an apocalyptic number.

13331133123 is a deficient number, since it is larger than the sum of its proper divisors (8838937917).

13331133123 is a wasteful number, since it uses less digits than its factorization.

13331133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24047.

The product of its digits is 1458, while the sum is 24.

Adding to 13331133123 its reverse (32133113331), we get a palindrome (45464246454).

The spelling of 13331133123 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-three".