13431066013431 has 12 divisors (see below), whose sum is σ = 21164104021320. Its totient is φ = 8140040008080.

The previous prime is 13431066013423. The next prime is 13431066013451.

13431066013431 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 0 + 6 + 601 + 3 + 43 + 1 = 666.

13431066013431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13431066013431 - 2³ = 13431066013423 is a prime.

It is a super-2 number, since 2×13431066013431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431066013451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67833666636 + ... + 67833666833.

It is an arithmetic number, because the mean of its divisors is an integer number (1763675335110).

Almost surely, 2^{13431066013431} is an apocalyptic number.

13431066013431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13431066013431 is a deficient number, since it is larger than the sum of its proper divisors (7733038007889).

13431066013431 is a wasteful number, since it uses less digits than its factorization.

13431066013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135667333486 (or 135667333483 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1343106 and 6013431, that added together give a palindrome (7356537).

The spelling of 13431066013431 in words is "thirteen trillion, four hundred thirty-one billion, sixty-six million, thirteen thousand, four hundred thirty-one".