22211120313 has 48 divisors (see below), whose sum is σ = 34930336896. Its totient is φ = 13543303680.

The previous prime is 22211120293. The next prime is 22211120333. The reversal of 22211120313 is 31302111222.

22211120313 is a `hidden beast` number, since 22 + 211 + 120 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (22211120293) and next prime (22211120333).

It is not a de Polignac number, because 22211120313 - 2²² = 22206926009 is a prime.

It is a super-2 number, since 2×22211120313² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22211120333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6015798 + ... + 6019488.

It is an arithmetic number, because the mean of its divisors is an integer number (727715352).

Almost surely, 2^22211120313 is an apocalyptic number.

It is an amenable number.

22211120313 is a deficient number, since it is larger than the sum of its proper divisors (12719216583).

22211120313 is a wasteful number, since it uses less digits than its factorization.

22211120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4811 counting only the distinct ones).

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

Adding to 22211120313 its reverse (31302111222), we get a palindrome (53513231535).

Subtracting 22211120313 from its reverse (31302111222), we obtain a palindrome (9090990909).

The spelling of 22211120313 in words is "twenty-two billion, two hundred eleven million, one hundred twenty thousand, three hundred thirteen".