13205431743 has 64 divisors (see below), whose sum is σ = 20971008000. Its totient is φ = 7386244320.

The previous prime is 13205431697. The next prime is 13205431747. The reversal of 13205431743 is 34713450231.

It is a happy number.

It is not a de Polignac number, because 13205431743 - 2⁹ = 13205431231 is a prime.

It is a super-3 number, since 3×13205431743³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205431747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26894728 + ... + 26895218.

It is an arithmetic number, because the mean of its divisors is an integer number (327672000).

Almost surely, 2^13205431743 is an apocalyptic number.

13205431743 is a deficient number, since it is larger than the sum of its proper divisors (7765576257).

13205431743 is an equidigital number, since it uses as much as digits as its factorization.

13205431743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 13205431743 its reverse (34713450231), we get a palindrome (47918881974).

The spelling of 13205431743 in words is "thirteen billion, two hundred five million, four hundred thirty-one thousand, seven hundred forty-three".