10213122213 has 24 divisors (see below), whose sum is σ = 17136153216. Its totient is φ = 5740394400.

The previous prime is 10213122211. The next prime is 10213122277. The reversal of 10213122213 is 31222131201.

10213122213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10213122213 - 2¹ = 10213122211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213122211) 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 23 ways as a sum of consecutive naturals, for example, 1324953 + ... + 1332638.

It is an arithmetic number, because the mean of its divisors is an integer number (714006384).

Almost surely, 2^10213122213 is an apocalyptic number.

It is an amenable number.

10213122213 is a deficient number, since it is larger than the sum of its proper divisors (6923031003).

10213122213 is a wasteful number, since it uses less digits than its factorization.

10213122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657665 (or 2657662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10213122213 its reverse (31222131201), we get a palindrome (41435253414).

The spelling of 10213122213 in words is "ten billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred thirteen".