221413410131020 has 96 divisors (see below), whose sum is σ = 468244934277120. Its totient is φ = 87943718027520.

The previous prime is 221413410131003. The next prime is 221413410131063. The reversal of 221413410131020 is 20131014314122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3119385891 + ... + 3119456869.

It is an arithmetic number, because the mean of its divisors is an integer number (4877551398720).

Almost surely, 2^{221413410131020} is an apocalyptic number.

221413410131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221413410131020 is an abundant number, since it is smaller than the sum of its proper divisors (246831524146100).

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

221413410131020 is a wasteful number, since it uses less digits than its factorization.

221413410131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73175 (or 73173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 221413410131020 its reverse (20131014314122), we get a palindrome (241544424445142).

The spelling of 221413410131020 in words is "two hundred twenty-one trillion, four hundred thirteen billion, four hundred ten million, one hundred thirty-one thousand, twenty".