22320313131100 has 72 divisors (see below), whose sum is σ = 48905987472720. Its totient is φ = 8841384222720.

The previous prime is 22320313131059. The next prime is 22320313131107. The reversal of 22320313131100 is 113131302322.

It is a super-3 number, since 3×22320313131100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320313131107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28384422 + ... + 29160178.

It is an arithmetic number, because the mean of its divisors is an integer number (679249826010).

Almost surely, 2^{22320313131100} is an apocalyptic number.

22320313131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320313131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24452993736360).

22320313131100 is an abundant number, since it is smaller than the sum of its proper divisors (26585674341620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22320313131100 is a wasteful number, since it uses less digits than its factorization.

22320313131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778567 (or 778560 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 22320313131100 its reverse (113131302322), we get a palindrome (22433444433422).

The spelling of 22320313131100 in words is "twenty-two trillion, three hundred twenty billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred".