13222101312331 has 8 divisors (see below), whose sum is σ = 13226276928384. Its totient is φ = 13217925948480.

The previous prime is 13222101312317. The next prime is 13222101312341. The reversal of 13222101312331 is 13321310122231.

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-13222101312331 is a prime.

It is a super-2 number, since 2×13222101312331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13222101312296 and 13222101312305.

It is not an unprimeable number, because it can be changed into a prime (13222101312341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203613190 + ... + 203678116.

It is an arithmetic number, because the mean of its divisors is an integer number (1653284616048).

Almost surely, 2^{13222101312331} is an apocalyptic number.

13222101312331 is a deficient number, since it is larger than the sum of its proper divisors (4175616053).

13222101312331 is an equidigital number, since it uses as much as digits as its factorization.

13222101312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126101.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13222101312331 its reverse (13321310122231), we get a palindrome (26543411434562).

The spelling of 13222101312331 in words is "thirteen trillion, two hundred twenty-two billion, one hundred one million, three hundred twelve thousand, three hundred thirty-one".