123130004013 has 32 divisors (see below), whose sum is σ = 193397120000. Its totient is φ = 77206803696.

The previous prime is 123130003981. The next prime is 123130004027. The reversal of 123130004013 is 310400031321.

123130004013 is a `hidden beast` number, since 1 + 231 + 30 + 0 + 0 + 401 + 3 = 666.

It is not a de Polignac number, because 123130004013 - 2⁵ = 123130003981 is a prime.

It is a super-2 number, since 2×123130004013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130004213) 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, 792073 + ... + 934686.

It is an arithmetic number, because the mean of its divisors is an integer number (6043660000).

Almost surely, 2^123130004013 is an apocalyptic number.

It is an amenable number.

123130004013 is a deficient number, since it is larger than the sum of its proper divisors (70267115987).

123130004013 is a wasteful number, since it uses less digits than its factorization.

123130004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726926 (or 1726920 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123130004013 its reverse (310400031321), we get a palindrome (433530035334).

The spelling of 123130004013 in words is "one hundred twenty-three billion, one hundred thirty million, four thousand, thirteen".