100130123313 has 48 divisors (see below), whose sum is σ = 162305699712. Its totient is φ = 58949856000.

The previous prime is 100130123311. The next prime is 100130123321. The reversal of 100130123313 is 313321031001.

It is a happy number.

100130123313 is a `hidden beast` number, since 100 + 130 + 123 + 313 = 666.

It is not a de Polignac number, because 100130123313 - 2¹ = 100130123311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100130123311) 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 47 ways as a sum of consecutive naturals, for example, 2289693 + ... + 2333013.

It is an arithmetic number, because the mean of its divisors is an integer number (3381368744).

Almost surely, 2^100130123313 is an apocalyptic number.

It is an amenable number.

100130123313 is a deficient number, since it is larger than the sum of its proper divisors (62175576399).

100130123313 is a wasteful number, since it uses less digits than its factorization.

100130123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44006 (or 44003 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100130123313 its reverse (313321031001), we get a palindrome (413451154314).

The spelling of 100130123313 in words is "one hundred billion, one hundred thirty million, one hundred twenty-three thousand, three hundred thirteen".