10200010013 has 16 divisors (see below), whose sum is σ = 10923454080. Its totient is φ = 9490867200.

The previous prime is 10200010001. The next prime is 10200010063. The reversal of 10200010013 is 31001000201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200010013 is a prime.

It is a super-3 number, since 3×10200010013³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200010063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560528 + ... + 578438.

It is an arithmetic number, because the mean of its divisors is an integer number (682715880).

Almost surely, 2^10200010013 is an apocalyptic number.

It is an amenable number.

10200010013 is a deficient number, since it is larger than the sum of its proper divisors (723444067).

10200010013 is a wasteful number, since it uses less digits than its factorization.

10200010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10200010013 its reverse (31001000201), we get a palindrome (41201010214).

The spelling of 10200010013 in words is "ten billion, two hundred million, ten thousand, thirteen".