13223131213009 has 2 divisors, whose sum is σ = 13223131213010. Its totient is φ = 13223131213008.

The previous prime is 13223131212997. The next prime is 13223131213063. The reversal of 13223131213009 is 90031213132231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9911459173009 + 3311672040000 = 3148247^2 + 1819800^2 .

It is a cyclic number.

It is not a de Polignac number, because 13223131213009 - 2²⁷ = 13222996995281 is a prime.

It is not a weakly prime, because it can be changed into another prime (13223131223009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611565606504 + 6611565606505.

It is an arithmetic number, because the mean of its divisors is an integer number (6611565606505).

Almost surely, 2^{13223131213009} is an apocalyptic number.

It is an amenable number.

13223131213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223131213009 is an equidigital number, since it uses as much as digits as its factorization.

13223131213009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 13223131213009 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty-one million, two hundred thirteen thousand, nine".