10137200013 has 6 divisors (see below), whose sum is σ = 14642622254. Its totient is φ = 6758133336.

The previous prime is 10137199987. The next prime is 10137200069. The reversal of 10137200013 is 31000273101.

10137200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9493968969 + 643231044 = 97437^2 + 25362^2 .

It is not a de Polignac number, because 10137200013 - 2¹⁴ = 10137183629 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 (10137200713) 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 5 ways as a sum of consecutive naturals, for example, 563177770 + ... + 563177787.

Almost surely, 2^10137200013 is an apocalyptic number.

It is an amenable number.

10137200013 is a deficient number, since it is larger than the sum of its proper divisors (4505422241).

10137200013 is a wasteful number, since it uses less digits than its factorization.

10137200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126355563 (or 1126355560 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 10137200013 its reverse (31000273101), we get a palindrome (41137473114).

The spelling of 10137200013 in words is "ten billion, one hundred thirty-seven million, two hundred thousand, thirteen".