22313101320 has 256 divisors, whose sum is σ = 78033715200. Its totient is φ = 5660455680.

The previous prime is 22313101243. The next prime is 22313101337. The reversal of 22313101320 is 2310131322.

22313101320 is a `hidden beast` number, since 2 + 2 + 31 + 310 + 1 + 320 = 666.

It is a super-3 number, since 3×22313101320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22313101293 and 22313101302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4742089 + ... + 4746791.

It is an arithmetic number, because the mean of its divisors is an integer number (304819200).

Almost surely, 2^22313101320 is an apocalyptic number.

22313101320 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 22313101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39016857600).

22313101320 is an abundant number, since it is smaller than the sum of its proper divisors (55720613880).

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

22313101320 is a wasteful number, since it uses less digits than its factorization.

22313101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22313101320 its reverse (2310131322), we get a palindrome (24623232642).

The spelling of 22313101320 in words is "twenty-two billion, three hundred thirteen million, one hundred one thousand, three hundred twenty".