13121310105 has 24 divisors (see below), whose sum is σ = 22883148288. Its totient is φ = 6955095456.

The previous prime is 13121310053. The next prime is 13121310143. The reversal of 13121310105 is 50101312131.

13121310105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121310105 - 2⁸ = 13121309849 is a prime.

It is a super-2 number, since 2×13121310105² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887097 + ... + 901766.

It is an arithmetic number, because the mean of its divisors is an integer number (953464512).

Almost surely, 2^13121310105 is an apocalyptic number.

13121310105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13121310105 is a deficient number, since it is larger than the sum of its proper divisors (9761838183).

13121310105 is a wasteful number, since it uses less digits than its factorization.

13121310105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789037 (or 1789034 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 13121310105 its reverse (50101312131), we get a palindrome (63222622236).

The spelling of 13121310105 in words is "thirteen billion, one hundred twenty-one million, three hundred ten thousand, one hundred five".