13432133123431 has 16 divisors (see below), whose sum is σ = 15276914928000. Its totient is φ = 11702013916320.

The previous prime is 13432133123417. The next prime is 13432133123449.

13432133123431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13432133123431 - 2⁷ = 13432133123303 is a prime.

It is a super-2 number, since 2×13432133123431² (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 (13432133123131) 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, 267878181 + ... + 267928318.

It is an arithmetic number, because the mean of its divisors is an integer number (954807183000).

Almost surely, 2^{13432133123431} is an apocalyptic number.

13432133123431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13432133123431 is a deficient number, since it is larger than the sum of its proper divisors (1844781804569).

13432133123431 is a wasteful number, since it uses less digits than its factorization.

13432133123431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535806606.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 1343213 and 3123431, that added together give a palindrome (4466644).

The spelling of 13432133123431 in words is "thirteen trillion, four hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, four hundred thirty-one".