13331101010123 has 8 divisors (see below), whose sum is σ = 14392372245216. Its totient is φ = 12274944336000.

The previous prime is 13331101010093. The next prime is 13331101010159. The reversal of 13331101010123 is 32101010113331.

13331101010123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331101010123 - 2¹⁴ = 13331100993739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13331101010095 and 13331101010104.

It is not an unprimeable number, because it can be changed into a prime (13331101010923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278634823 + ... + 1278645248.

It is an arithmetic number, because the mean of its divisors is an integer number (1799046530652).

Almost surely, 2^{13331101010123} is an apocalyptic number.

13331101010123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13331101010123 is a deficient number, since it is larger than the sum of its proper divisors (1061271235093).

13331101010123 is a wasteful number, since it uses less digits than its factorization.

13331101010123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557280485.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13331101010123 its reverse (32101010113331), we get a palindrome (45432111123454).

The spelling of 13331101010123 in words is "thirteen trillion, three hundred thirty-one billion, one hundred one million, ten thousand, one hundred twenty-three".