13120123220213 has 8 divisors (see below), whose sum is σ = 13367726905176. Its totient is φ = 12872521542400.

The previous prime is 13120123220203. The next prime is 13120123220221. The reversal of 13120123220213 is 31202232102131.

It can be written as a sum of positive squares in 4 ways, for example, as 840271055569 + 12279852164644 = 916663^2 + 3504262^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13120123220213 - 2²⁴ = 13120106442997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120123220203) 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, 22869233 + ... + 23435913.

It is an arithmetic number, because the mean of its divisors is an integer number (1670965863147).

Almost surely, 2^{13120123220213} is an apocalyptic number.

It is an amenable number.

13120123220213 is a deficient number, since it is larger than the sum of its proper divisors (247603684963).

13120123220213 is an equidigital number, since it uses as much as digits as its factorization.

13120123220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003575.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13120123220213 its reverse (31202232102131), we get a palindrome (44322355322344).

The spelling of 13120123220213 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty-three million, two hundred twenty thousand, two hundred thirteen".