123461600013 has 6 divisors (see below), whose sum is σ = 178333422254. Its totient is φ = 82307733336.

The previous prime is 123461599981. The next prime is 123461600117. The reversal of 123461600013 is 310006164321.

123461600013 is a `hidden beast` number, since 1 + 2 + 3 + 46 + 1 + 600 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85312478889 + 38149121124 = 292083^2 + 195318^2 .

It is not a de Polignac number, because 123461600013 - 2⁵ = 123461599981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123461600013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123461600813) 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 5 ways as a sum of consecutive naturals, for example, 6858977770 + ... + 6858977787.

Almost surely, 2^123461600013 is an apocalyptic number.

It is an amenable number.

123461600013 is a deficient number, since it is larger than the sum of its proper divisors (54871822241).

123461600013 is a wasteful number, since it uses less digits than its factorization.

123461600013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717955563 (or 13717955560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123461600013 its reverse (310006164321), we get a palindrome (433467764334).

The spelling of 123461600013 in words is "one hundred twenty-three billion, four hundred sixty-one million, six hundred thousand, thirteen".