10201200013 has 8 divisors (see below), whose sum is σ = 10805675832. Its totient is φ = 9597213696.

The previous prime is 10201200011. The next prime is 10201200017. The reversal of 10201200013 is 31000210201.

It can be written as a sum of positive squares in 4 ways, for example, as 5454265609 + 4746934404 = 73853^2 + 68898^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10201200013 - 2¹ = 10201200011 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 (10201200011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79020 + ... + 163237.

It is an arithmetic number, because the mean of its divisors is an integer number (1350709479).

Almost surely, 2^10201200013 is an apocalyptic number.

It is an amenable number.

10201200013 is a deficient number, since it is larger than the sum of its proper divisors (604475819).

10201200013 is a wasteful number, since it uses less digits than its factorization.

10201200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244751.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10201200013 its reverse (31000210201), we get a palindrome (41201410214).

The spelling of 10201200013 in words is "ten billion, two hundred one million, two hundred thousand, thirteen".