13101133123 has 32 divisors (see below), whose sum is σ = 14805032256. Its totient is φ = 11512171008.

The previous prime is 13101133081. The next prime is 13101133139. The reversal of 13101133123 is 32133110131.

13101133123 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 13101133123 - 2¹³ = 13101124931 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101133123.

It is not an unprimeable number, because it can be changed into a prime (13101133163) 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, 16646536 + ... + 16647322.

It is an arithmetic number, because the mean of its divisors is an integer number (462657258).

Almost surely, 2^13101133123 is an apocalyptic number.

13101133123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13101133123 is a deficient number, since it is larger than the sum of its proper divisors (1703899133).

13101133123 is a wasteful number, since it uses less digits than its factorization.

13101133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13101133123 its reverse (32133110131), we get a palindrome (45234243254).

The spelling of 13101133123 in words is "thirteen billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-three".