10213221311 has 8 divisors (see below), whose sum is σ = 10268020224. Its totient is φ = 10158452640.

The previous prime is 10213221289. The next prime is 10213221331. The reversal of 10213221311 is 11312231201.

10213221311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10213221311 - 2¹⁴ = 10213204927 is a prime.

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 10213221311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213221331) 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 in 7 ways as a sum of consecutive naturals, for example, 1079381 + ... + 1088801.

It is an arithmetic number, because the mean of its divisors is an integer number (1283502528).

Almost surely, 2^10213221311 is an apocalyptic number.

10213221311 is a deficient number, since it is larger than the sum of its proper divisors (54798913).

10213221311 is an equidigital number, since it uses as much as digits as its factorization.

10213221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10213221311 its reverse (11312231201), we get a palindrome (21525452512).

The spelling of 10213221311 in words is "ten billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred eleven".