13206405042313 has 16 divisors (see below), whose sum is σ = 15105822244480. Its totient is φ = 11310188889600.

The previous prime is 13206405042277. The next prime is 13206405042371. The reversal of 13206405042313 is 31324050460231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13206405042313 - 2¹⁷ = 13206404911241 is a prime.

It is a super-3 number, since 3×13206405042313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13206405042013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39306553 + ... + 39641113.

It is an arithmetic number, because the mean of its divisors is an integer number (944113890280).

Almost surely, 2^{13206405042313} is an apocalyptic number.

It is an amenable number.

13206405042313 is a deficient number, since it is larger than the sum of its proper divisors (1899417202167).

13206405042313 is a wasteful number, since it uses less digits than its factorization.

13206405042313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339328.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 13206405042313 in words is "thirteen trillion, two hundred six billion, four hundred five million, forty-two thousand, three hundred thirteen".