13222122122231 has 8 divisors (see below), whose sum is σ = 15272611649424. Its totient is φ = 11313045665920.

The previous prime is 13222122122221. The next prime is 13222122122239.

13222122122231 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-13222122122231 is a prime.

It is a super-2 number, since 2×13222122122231² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13222122122231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222122122239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35353267520 + ... + 35353267893.

It is an arithmetic number, because the mean of its divisors is an integer number (1909076456178).

Almost surely, 2^{13222122122231} is an apocalyptic number.

13222122122231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222122122231 is a deficient number, since it is larger than the sum of its proper divisors (2050489527193).

13222122122231 is a wasteful number, since it uses less digits than its factorization.

13222122122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70706535441.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 1322212 and 2122231, that added together give a palindrome (3444443).

The spelling of 13222122122231 in words is "thirteen trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-one".