10013123121001 has 24 divisors (see below), whose sum is σ = 13684268170944. Its totient is φ = 7202246395680.

The previous prime is 10013123120983. The next prime is 10013123121013. The reversal of 10013123121001 is 10012132131001.

It is a happy number.

It is not a de Polignac number, because 10013123121001 - 2³⁹ = 9463367307113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10013123121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714501565 + ... + 714515578.

It is an arithmetic number, because the mean of its divisors is an integer number (570177840456).

Almost surely, 2^{10013123121001} is an apocalyptic number.

10013123121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013123121001 is a deficient number, since it is larger than the sum of its proper divisors (3671145049943).

10013123121001 is a wasteful number, since it uses less digits than its factorization.

10013123121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429017181 (or 1429017174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10013123121001 its reverse (10012132131001), we get a palindrome (20025255252002).

The spelling of 10013123121001 in words is "ten trillion, thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand, one".