22022212322113 has 48 divisors (see below), whose sum is σ = 24662175872400. Its totient is φ = 19631667202560.

The previous prime is 22022212322111. The next prime is 22022212322161. The reversal of 22022212322113 is 31122321222022.

It can be written as a sum of positive squares in 8 ways, for example, as 581302554624 + 21440909767489 = 762432^2 + 4630433^2 .

It is not a de Polignac number, because 22022212322113 - 2¹ = 22022212322111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22022212322111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69450195 + ... + 69766567.

It is an arithmetic number, because the mean of its divisors is an integer number (513795330675).

Almost surely, 2^{22022212322113} is an apocalyptic number.

It is an amenable number.

22022212322113 is a deficient number, since it is larger than the sum of its proper divisors (2639963550287).

22022212322113 is a wasteful number, since it uses less digits than its factorization.

22022212322113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316610 (or 316591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22022212322113 its reverse (31122321222022), we get a palindrome (53144533544135).

The spelling of 22022212322113 in words is "twenty-two trillion, twenty-two billion, two hundred twelve million, three hundred twenty-two thousand, one hundred thirteen".