20221130301300 has 288 divisors, whose sum is σ = 65843910720000. Its totient is φ = 5322924771840.

The previous prime is 20221130301269. The next prime is 20221130301311. The reversal of 20221130301300 is 310303112202.

20221130301300 is a `hidden beast` number, since 2 + 0 + 22 + 11 + 30 + 301 + 300 = 666.

It is a super-2 number, since 2×20221130301300² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1669919646 + ... + 1669931754.

It is an arithmetic number, because the mean of its divisors is an integer number (228624690000).

Almost surely, 2^{20221130301300} is an apocalyptic number.

20221130301300 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 20221130301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32921955360000).

20221130301300 is an abundant number, since it is smaller than the sum of its proper divisors (45622780418700).

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

20221130301300 is a wasteful number, since it uses less digits than its factorization.

20221130301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040 (or 20027 counting only the distinct ones).

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

Adding to 20221130301300 its reverse (310303112202), we get a palindrome (20531433413502).

The spelling of 20221130301300 in words is "twenty trillion, two hundred twenty-one billion, one hundred thirty million, three hundred one thousand, three hundred".