12141340013 has 24 divisors (see below), whose sum is σ = 13824057240. Its totient is φ = 10642755200.

The previous prime is 12141340009. The next prime is 12141340037. The reversal of 12141340013 is 31004314121.

It can be written as a sum of positive squares in 4 ways, for example, as 4159347049 + 7981992964 = 64493^2 + 89342^2 .

It is not a de Polignac number, because 12141340013 - 2² = 12141340009 is a prime.

It is a super-2 number, since 2×12141340013² (a number of 21 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 (12141343013) 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 23 ways as a sum of consecutive naturals, for example, 3300131 + ... + 3303807.

It is an arithmetic number, because the mean of its divisors is an integer number (576002385).

Almost surely, 2^12141340013 is an apocalyptic number.

It is an amenable number.

12141340013 is a deficient number, since it is larger than the sum of its proper divisors (1682717227).

12141340013 is a wasteful number, since it uses less digits than its factorization.

12141340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12141340013 its reverse (31004314121), we get a palindrome (43145654134).

The spelling of 12141340013 in words is "twelve billion, one hundred forty-one million, three hundred forty thousand, thirteen".