100003310130123 has 48 divisors (see below), whose sum is σ = 153492884750400. Its totient is φ = 62620425665280.

The previous prime is 100003310130107. The next prime is 100003310130169. The reversal of 100003310130123 is 321031013300001.

It is a happy number.

100003310130123 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 331 + 0 + 1 + 301 + 23 = 666.

It is not a de Polignac number, because 100003310130123 - 2⁴ = 100003310130107 is a prime.

It is a super-2 number, since 2×100003310130123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100003310130096 and 100003310130105.

It is not an unprimeable number, because it can be changed into a prime (100003310137123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61201218 + ... + 62813976.

It is an arithmetic number, because the mean of its divisors is an integer number (3197768432300).

Almost surely, 2^{100003310130123} is an apocalyptic number.

100003310130123 is a deficient number, since it is larger than the sum of its proper divisors (53489574620277).

100003310130123 is a wasteful number, since it uses less digits than its factorization.

100003310130123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619252 (or 1619249 counting only the distinct ones).

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

Adding to 100003310130123 its reverse (321031013300001), we get a palindrome (421034323430124).

The spelling of 100003310130123 in words is "one hundred trillion, three billion, three hundred ten million, one hundred thirty thousand, one hundred twenty-three".