13121330112305 has 16 divisors (see below), whose sum is σ = 16372944380880. Its totient is φ = 10082582888448.

The previous prime is 13121330112299. The next prime is 13121330112361. The reversal of 13121330112305 is 50321103312131.

It can be written as a sum of positive squares in 8 ways, for example, as 454286784064 + 12667043328241 = 674008^2 + 3559079^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121330112305 - 2²⁴ = 13121313335089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234407072 + ... + 234463041.

It is an arithmetic number, because the mean of its divisors is an integer number (1023309023805).

Almost surely, 2^{13121330112305} is an apocalyptic number.

It is an amenable number.

13121330112305 is a deficient number, since it is larger than the sum of its proper divisors (3251614268575).

13121330112305 is a wasteful number, since it uses less digits than its factorization.

13121330112305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468870340.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 13121330112305 its reverse (50321103312131), we get a palindrome (63442433424436).

The spelling of 13121330112305 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty million, one hundred twelve thousand, three hundred five".