10201202013 has 16 divisors (see below), whose sum is σ = 13699611200. Its totient is φ = 6751869696.

The previous prime is 10201201993. The next prime is 10201202027. The reversal of 10201202013 is 31020210201.

10201202013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201202013 - 2⁸ = 10201201757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201202093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602538 + ... + 619236.

It is an arithmetic number, because the mean of its divisors is an integer number (856225700).

Almost surely, 2^10201202013 is an apocalyptic number.

It is an amenable number.

10201202013 is a deficient number, since it is larger than the sum of its proper divisors (3498409187).

10201202013 is a wasteful number, since it uses less digits than its factorization.

10201202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18156.

The product of its (nonzero) digits is 24, while the sum is 12.

Subtracting from 10201202013 its sum of digits (12), we obtain a square (10201202001 = 101001²).

Adding to 10201202013 its reverse (31020210201), we get a palindrome (41221412214).

The spelling of 10201202013 in words is "ten billion, two hundred one million, two hundred two thousand, thirteen".