13422133122431 has 8 divisors (see below), whose sum is σ = 14642383640400. Its totient is φ = 12201892037440.

The previous prime is 13422133122421. The next prime is 13422133122443.

13422133122431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13422133122431 is a prime.

It is a super-2 number, since 2×13422133122431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422133122401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800915 + ... + 5242683.

It is an arithmetic number, because the mean of its divisors is an integer number (1830297955050).

Almost surely, 2^{13422133122431} is an apocalyptic number.

13422133122431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13422133122431 is a deficient number, since it is larger than the sum of its proper divisors (1220250517969).

13422133122431 is a wasteful number, since it uses less digits than its factorization.

13422133122431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716489.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1342213 and 3122431, that added together give a palindrome (4464644).

The spelling of 13422133122431 in words is "thirteen trillion, four hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred thirty-one".