10113130137 has 16 divisors (see below), whose sum is σ = 14711703552. Its totient is φ = 6128463120.

The previous prime is 10113130121. The next prime is 10113130141. The reversal of 10113130137 is 73103131101.

10113130137 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 10113130137 - 2⁴ = 10113130121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113131137) 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, 494448 + ... + 514494.

It is an arithmetic number, because the mean of its divisors is an integer number (919481472).

Almost surely, 2^10113130137 is an apocalyptic number.

It is an amenable number.

10113130137 is a deficient number, since it is larger than the sum of its proper divisors (4598573415).

10113130137 is a wasteful number, since it uses less digits than its factorization.

10113130137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35348.

The product of its (nonzero) digits is 189, while the sum is 21.

Adding to 10113130137 its reverse (73103131101), we get a palindrome (83216261238).

The spelling of 10113130137 in words is "ten billion, one hundred thirteen million, one hundred thirty thousand, one hundred thirty-seven".