10002123100013 has 16 divisors (see below), whose sum is σ = 10919285793024. Its totient is φ = 9086274869760.

The previous prime is 10002123099973. The next prime is 10002123100019. The reversal of 10002123100013 is 31000132120001.

It is not a de Polignac number, because 10002123100013 - 2¹⁸ = 10002122837869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002123100019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181640981 + ... + 181696037.

It is an arithmetic number, because the mean of its divisors is an integer number (682455362064).

Almost surely, 2^{10002123100013} is an apocalyptic number.

It is an amenable number.

10002123100013 is a deficient number, since it is larger than the sum of its proper divisors (917162693011).

10002123100013 is a wasteful number, since it uses less digits than its factorization.

10002123100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66692.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10002123100013 its reverse (31000132120001), we get a palindrome (41002255220014).

The spelling of 10002123100013 in words is "ten trillion, two billion, one hundred twenty-three million, one hundred thousand, thirteen".