10013210420213 has 16 divisors (see below), whose sum is σ = 13444310495616. Its totient is φ = 7202309192640.

The previous prime is 10013210420207. The next prime is 10013210420221. The reversal of 10013210420213 is 31202401231001.

It is a cyclic number.

It is not a de Polignac number, because 10013210420213 - 2⁴ = 10013210420197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013210420513) 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, 5001602606 + ... + 5001604607.

It is an arithmetic number, because the mean of its divisors is an integer number (840269405976).

Almost surely, 2^{10013210420213} is an apocalyptic number.

10013210420213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013210420213 is a deficient number, since it is larger than the sum of its proper divisors (3431100075403).

10013210420213 is a wasteful number, since it uses less digits than its factorization.

10013210420213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003207244.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10013210420213 its reverse (31202401231001), we get a palindrome (41215611651214).

The spelling of 10013210420213 in words is "ten trillion, thirteen billion, two hundred ten million, four hundred twenty thousand, two hundred thirteen".