12693348116137 has 8 divisors (see below), whose sum is σ = 13761502864200. Its totient is φ = 11638299561600.

The previous prime is 12693348116039. The next prime is 12693348116143. The reversal of 12693348116137 is 73161184339621.

It can be written as a sum of positive squares in 4 ways, for example, as 1378877153536 + 11314470962601 = 1174256^2 + 3363699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12693348116137 - 2²³ = 12693339727529 is a prime.

It is a super-2 number, since 2×12693348116137² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12693348516137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3276546364 + ... + 3276550237.

It is an arithmetic number, because the mean of its divisors is an integer number (1720187858025).

Almost surely, 2^{12693348116137} is an apocalyptic number.

It is an amenable number.

12693348116137 is a deficient number, since it is larger than the sum of its proper divisors (1068154748063).

12693348116137 is a wasteful number, since it uses less digits than its factorization.

12693348116137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553096763.

The product of its digits is 3919104, while the sum is 55.

The spelling of 12693348116137 in words is "twelve trillion, six hundred ninety-three billion, three hundred forty-eight million, one hundred sixteen thousand, one hundred thirty-seven".