13084406120709 has 144 divisors (see below), whose sum is σ = 26081210990016. Its totient is φ = 6224364518400.

The previous prime is 13084406120693. The next prime is 13084406120809. The reversal of 13084406120709 is 90702160448031.

13084406120709 is a `hidden beast` number, since 1 + 30 + 8 + 4 + 406 + 1 + 207 + 0 + 9 = 666.

It is not a de Polignac number, because 13084406120709 - 2⁴ = 13084406120693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084406120809) 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 143 ways as a sum of consecutive naturals, for example, 907194 + ... + 5195364.

It is an arithmetic number, because the mean of its divisors is an integer number (181119520764).

Almost surely, 2^{13084406120709} is an apocalyptic number.

It is an amenable number.

13084406120709 is a deficient number, since it is larger than the sum of its proper divisors (12996804869307).

13084406120709 is a wasteful number, since it uses less digits than its factorization.

13084406120709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288256 (or 4288246 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13084406120709 in words is "thirteen trillion, eighty-four billion, four hundred six million, one hundred twenty thousand, seven hundred nine".