100613110137 has 32 divisors (see below), whose sum is σ = 139304282112. Its totient is φ = 64550169024.

The previous prime is 100613110123. The next prime is 100613110141. The reversal of 100613110137 is 731011316001.

It is not a de Polignac number, because 100613110137 - 2¹⁶ = 100613044601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100613110837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5309203 + ... + 5328119.

It is an arithmetic number, because the mean of its divisors is an integer number (4353258816).

Almost surely, 2^100613110137 is an apocalyptic number.

It is an amenable number.

100613110137 is a deficient number, since it is larger than the sum of its proper divisors (38691171975).

100613110137 is a wasteful number, since it uses less digits than its factorization.

100613110137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597.

The product of its (nonzero) digits is 378, while the sum is 24.

Adding to 100613110137 its reverse (731011316001), we get a palindrome (831624426138).

The spelling of 100613110137 in words is "one hundred billion, six hundred thirteen million, one hundred ten thousand, one hundred thirty-seven".