20001221313300 has 108 divisors (see below), whose sum is σ = 62723259946620. Its totient is φ = 5331060541440.

The previous prime is 20001221313277. The next prime is 20001221313323. The reversal of 20001221313300 is 331312210002.

20001221313300 is a `hidden beast` number, since 20 + 0 + 0 + 12 + 21 + 313 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (20001221313277) and next prime (20001221313323).

It can be written as a sum of positive squares in 6 ways, for example, as 3221924480784 + 16779296832516 = 1794972^2 + 4096254^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3564765 + ... + 7260164.

Almost surely, 2^{20001221313300} is an apocalyptic number.

20001221313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001221313300 is an abundant number, since it is smaller than the sum of its proper divisors (42722038633320).

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

20001221313300 is a wasteful number, since it uses less digits than its factorization.

20001221313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827002 (or 10826992 counting only the distinct ones).

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

Adding to 20001221313300 its reverse (331312210002), we get a palindrome (20332533523302).

The spelling of 20001221313300 in words is "twenty trillion, one billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred".