100123013313 has 48 divisors (see below), whose sum is σ = 152677324800. Its totient is φ = 63132549120.

The previous prime is 100123013299. The next prime is 100123013321. The reversal of 100123013313 is 313310321001.

It is a happy number.

100123013313 is a `hidden beast` number, since 100 + 1 + 230 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 100123013313 - 2⁵ = 100123013281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100123013363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10078933 + ... + 10088861.

It is an arithmetic number, because the mean of its divisors is an integer number (3180777600).

Almost surely, 2^100123013313 is an apocalyptic number.

It is an amenable number.

100123013313 is a deficient number, since it is larger than the sum of its proper divisors (52554311487).

100123013313 is a wasteful number, since it uses less digits than its factorization.

100123013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10779 counting only the distinct ones).

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

Adding to 100123013313 its reverse (313310321001), we get a palindrome (413433334314).

The spelling of 100123013313 in words is "one hundred billion, one hundred twenty-three million, thirteen thousand, three hundred thirteen".