10001123123013 has 128 divisors (see below), whose sum is σ = 17174395699200. Its totient is φ = 5692062974400.

The previous prime is 10001123122987. The next prime is 10001123123071. The reversal of 10001123123013 is 31032132110001.

It is not a de Polignac number, because 10001123123013 - 2²⁵ = 10001089568581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001123123413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317168058 + ... + 317199588.

It is an arithmetic number, because the mean of its divisors is an integer number (134174966400).

Almost surely, 2^{10001123123013} is an apocalyptic number.

It is an amenable number.

10001123123013 is a deficient number, since it is larger than the sum of its proper divisors (7173272576187).

10001123123013 is a wasteful number, since it uses less digits than its factorization.

10001123123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32420 (or 32414 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10001123123013 its reverse (31032132110001), we get a palindrome (41033255233014).

The spelling of 10001123123013 in words is "ten trillion, one billion, one hundred twenty-three million, one hundred twenty-three thousand, thirteen".