10120321003213 has 8 divisors (see below), whose sum is σ = 10726878127608. Its totient is φ = 9515013225984.

The previous prime is 10120321003189. The next prime is 10120321003241. The reversal of 10120321003213 is 31230012302101.

It can be written as a sum of positive squares in 4 ways, for example, as 3176368724169 + 6943952279044 = 1782237^2 + 2635138^2 .

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

It is not a de Polignac number, because 10120321003213 - 2³⁷ = 9982882049741 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 (10120321003613) 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, 312320106 + ... + 312352507.

It is an arithmetic number, because the mean of its divisors is an integer number (1340859765951).

Almost surely, 2^{10120321003213} is an apocalyptic number.

It is an amenable number.

10120321003213 is a deficient number, since it is larger than the sum of its proper divisors (606557124395).

10120321003213 is an equidigital number, since it uses as much as digits as its factorization.

10120321003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624673583.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10120321003213 its reverse (31230012302101), we get a palindrome (41350333305314).

The spelling of 10120321003213 in words is "ten trillion, one hundred twenty billion, three hundred twenty-one million, three thousand, two hundred thirteen".