22302120213 has 24 divisors (see below), whose sum is σ = 32838900120. Its totient is φ = 14580034560.

The previous prime is 22302120173. The next prime is 22302120221. The reversal of 22302120213 is 31202120322.

It can be written as a sum of positive squares in 4 ways, for example, as 5743063089 + 16559057124 = 75783^2 + 128682^2 .

It is not a de Polignac number, because 22302120213 - 2¹⁴ = 22302103829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302120233) 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, 1004553 + ... + 1026513.

It is an arithmetic number, because the mean of its divisors is an integer number (1368287505).

Almost surely, 2^22302120213 is an apocalyptic number.

It is an amenable number.

22302120213 is a deficient number, since it is larger than the sum of its proper divisors (10536779907).

22302120213 is a wasteful number, since it uses less digits than its factorization.

22302120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22302120213 its reverse (31202120322), we get a palindrome (53504240535).

The spelling of 22302120213 in words is "twenty-two billion, three hundred two million, one hundred twenty thousand, two hundred thirteen".