13431136804031 has 16 divisors (see below), whose sum is σ = 13732557600000. Its totient is φ = 13132224838656.

The previous prime is 13431136804027. The next prime is 13431136804051. The reversal of 13431136804031 is 13040863113431.

It is a cyclic number.

It is not a de Polignac number, because 13431136804031 - 2² = 13431136804027 is a prime.

It is a super-3 number, since 3×13431136804031³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431136804051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31358840 + ... + 31784258.

It is an arithmetic number, because the mean of its divisors is an integer number (858284850000).

Almost surely, 2^{13431136804031} is an apocalyptic number.

13431136804031 is a deficient number, since it is larger than the sum of its proper divisors (301420795969).

13431136804031 is a wasteful number, since it uses less digits than its factorization.

13431136804031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428366.

The product of its (nonzero) digits is 62208, while the sum is 38.

Adding to 13431136804031 its reverse (13040863113431), we get a palindrome (26471999917462).

The spelling of 13431136804031 in words is "thirteen trillion, four hundred thirty-one billion, one hundred thirty-six million, eight hundred four thousand, thirty-one".