123527040013 has 16 divisors (see below), whose sum is σ = 137541524400. Its totient is φ = 110198555136.

The previous prime is 123527040011. The next prime is 123527040031. The reversal of 123527040013 is 310040725321.

It can be written as a sum of positive squares in 8 ways, for example, as 647346249 + 122879693764 = 25443^2 + 350542^2 .

It is not a de Polignac number, because 123527040013 - 2¹ = 123527040011 is a prime.

It is a super-2 number, since 2×123527040013² (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 (123527040011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790120 + ... + 933457.

It is an arithmetic number, because the mean of its divisors is an integer number (8596345275).

Almost surely, 2^123527040013 is an apocalyptic number.

123527040013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123527040013 is a deficient number, since it is larger than the sum of its proper divisors (14014484387).

123527040013 is a wasteful number, since it uses less digits than its factorization.

123527040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723776.

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 123527040013 its reverse (310040725321), we get a palindrome (433567765334).

The spelling of 123527040013 in words is "one hundred twenty-three billion, five hundred twenty-seven million, forty thousand, thirteen".