13432300323431 has 64 divisors (see below), whose sum is σ = 15799388774400. Its totient is φ = 11284780032000.

The previous prime is 13432300323413. The next prime is 13432300323439.

13432300323431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13432300323431 - 2⁶ = 13432300323367 is a prime.

It is a super-2 number, since 2×13432300323431² (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 (13432300323439) 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, 1332696650 + ... + 1332706728.

It is an arithmetic number, because the mean of its divisors is an integer number (246865449600).

Almost surely, 2^{13432300323431} is an apocalyptic number.

13432300323431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13432300323431 is a deficient number, since it is larger than the sum of its proper divisors (2367088450969).

13432300323431 is a wasteful number, since it uses less digits than its factorization.

13432300323431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 13432300 and 323431, that added together give a palindrome (13755731).

The spelling of 13432300323431 in words is "thirteen trillion, four hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, four hundred thirty-one".