10022230131300 has 432 divisors, whose sum is σ = 33620463558864. Its totient is φ = 2488320000000.

The previous prime is 10022230131259. The next prime is 10022230131307. The reversal of 10022230131300 is 313103222001.

10022230131300 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 230 + 131 + 300 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3543331875876 + 6478898255424 = 1882374^2 + 2545368^2 .

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 (10022230131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2504929300 + ... + 2504933300.

It is an arithmetic number, because the mean of its divisors is an integer number (77825147127).

Almost surely, 2^{10022230131300} is an apocalyptic number.

10022230131300 is a gapful number since it is divisible by the number (10) 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 10022230131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810231779432).

10022230131300 is an abundant number, since it is smaller than the sum of its proper divisors (23598233427564).

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

10022230131300 is a wasteful number, since it uses less digits than its factorization.

10022230131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5750 counting only the distinct ones).

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

Adding to 10022230131300 its reverse (313103222001), we get a palindrome (10335333353301).

The spelling of 10022230131300 in words is "ten trillion, twenty-two billion, two hundred thirty million, one hundred thirty-one thousand, three hundred".