20211313030200 has 288 divisors, whose sum is σ = 68561739848160. Its totient is φ = 5335279488000.

The previous prime is 20211313030199. The next prime is 20211313030243. The reversal of 20211313030200 is 203031311202.

20211313030200 is a `hidden beast` number, since 20 + 211 + 3 + 130 + 302 + 0 + 0 = 666.

It is a super-2 number, since 2×20211313030200² (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 71 ways as a sum of consecutive naturals, for example, 1512023917 + ... + 1512037283.

It is an arithmetic number, because the mean of its divisors is an integer number (238061596695).

Almost surely, 2^{20211313030200} is an apocalyptic number.

20211313030200 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 20211313030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34280869924080).

20211313030200 is an abundant number, since it is smaller than the sum of its proper divisors (48350426817960).

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

20211313030200 is a wasteful number, since it uses less digits than its factorization.

20211313030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21807 (or 21795 counting only the distinct ones).

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

Adding to 20211313030200 its reverse (203031311202), we get a palindrome (20414344341402).

The spelling of 20211313030200 in words is "twenty trillion, two hundred eleven billion, three hundred thirteen million, thirty thousand, two hundred".