22303131300000 has 720 divisors, whose sum is σ = 86809098471480. Its totient is φ = 5597614080000.

The previous prime is 22303131299993. The next prime is 22303131300001. The reversal of 22303131300000 is 313130322.

22303131300000 is a `hidden beast` number, since 2 + 230 + 3 + 131 + 300 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11151084776976 + 11152046523024 = 3339324^2 + 3339468^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (22303131300001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137619016 + ... + 137780984.

Almost surely, 2^{22303131300000} is an apocalyptic number.

22303131300000 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 22303131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404549235740).

22303131300000 is an abundant number, since it is smaller than the sum of its proper divisors (64505967171480).

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

22303131300000 is an equidigital number, since it uses as much as digits as its factorization.

22303131300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162033 (or 161996 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22303131300000 its reverse (313130322), we get a palindrome (22303444430322).

The spelling of 22303131300000 in words is "twenty-two trillion, three hundred three billion, one hundred thirty-one million, three hundred thousand".