221313112020 has 1152 divisors, whose sum is σ = 938619601920. Its totient is φ = 40728821760.

The previous prime is 221313112019. The next prime is 221313112043. The reversal of 221313112020 is 20211313122.

221313112020 is a `hidden beast` number, since 22 + 131 + 311 + 202 + 0 = 666.

221313112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221313111984 and 221313112002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 593332554 + ... + 593332926.

It is an arithmetic number, because the mean of its divisors is an integer number (814773960).

Almost surely, 2^221313112020 is an apocalyptic number.

221313112020 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 221313112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469309800960).

221313112020 is an abundant number, since it is smaller than the sum of its proper divisors (717306489900).

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

221313112020 is a wasteful number, since it uses less digits than its factorization.

221313112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221313112020 its reverse (20211313122), we get a palindrome (241524425142).

It can be divided in two parts, 221313 and 112020, that added together give a palindrome (333333).

The spelling of 221313112020 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred twelve thousand, twenty".