221120012020313 has 6 divisors (see below), whose sum is σ = 257221238472666. Its totient is φ = 189531438874512.

The previous prime is 221120012020261. The next prime is 221120012020337. The reversal of 221120012020313 is 313020210021122.

It can be written as a sum of positive squares in only one way, i.e., 136711913757769 + 84408098262544 = 11692387^2 + 9187388^2 .

It is not a de Polignac number, because 221120012020313 - 2²⁰ = 221120010971737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221120012020343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2256326653220 + ... + 2256326653317.

It is an arithmetic number, because the mean of its divisors is an integer number (42870206412111).

Almost surely, 2^{221120012020313} is an apocalyptic number.

It is an amenable number.

221120012020313 is a deficient number, since it is larger than the sum of its proper divisors (36101226452353).

221120012020313 is an equidigital number, since it uses as much as digits as its factorization.

221120012020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512653306551 (or 4512653306544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221120012020313 its reverse (313020210021122), we get a palindrome (534140222041435).

The spelling of 221120012020313 in words is "two hundred twenty-one trillion, one hundred twenty billion, twelve million, twenty thousand, three hundred thirteen".