10240202120013 has 24 divisors (see below), whose sum is σ = 16342419757248. Its totient is φ = 6145867254912.

The previous prime is 10240202119993. The next prime is 10240202120147. The reversal of 10240202120013 is 31002120204201.

It is a happy number.

10240202120013 is a `hidden beast` number, since 10 + 240 + 202 + 1 + 200 + 13 = 666.

It is not a de Polignac number, because 10240202120013 - 2⁶ = 10240202119949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240202122013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454983995 + ... + 1454991032.

It is an arithmetic number, because the mean of its divisors is an integer number (680934156552).

Almost surely, 2^{10240202120013} is an apocalyptic number.

It is an amenable number.

10240202120013 is a deficient number, since it is larger than the sum of its proper divisors (6102217637235).

10240202120013 is a wasteful number, since it uses less digits than its factorization.

10240202120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909975073 (or 2909975070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10240202120013 its reverse (31002120204201), we get a palindrome (41242322324214).

The spelling of 10240202120013 in words is "ten trillion, two hundred forty billion, two hundred two million, one hundred twenty thousand, thirteen".