13106444121 has 24 divisors (see below), whose sum is σ = 19590297480. Its totient is φ = 8433766656.

The previous prime is 13106444119. The next prime is 13106444167. The reversal of 13106444121 is 12144460131.

13106444121 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 644 + 4 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6018656400 + 7087787721 = 77580^2 + 84189^2 .

It is not a de Polignac number, because 13106444121 - 2¹ = 13106444119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13106444101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245735 + ... + 1256211.

It is an arithmetic number, because the mean of its divisors is an integer number (816262395).

Almost surely, 2^13106444121 is an apocalyptic number.

It is an amenable number.

13106444121 is a deficient number, since it is larger than the sum of its proper divisors (6483853359).

13106444121 is a wasteful number, since it uses less digits than its factorization.

13106444121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13106444121 in words is "thirteen billion, one hundred six million, four hundred forty-four thousand, one hundred twenty-one".