220121001013 has 2 divisors, whose sum is σ = 220121001014. Its totient is φ = 220121001012.

The previous prime is 220121001011. The next prime is 220121001103. The reversal of 220121001013 is 310100121022.

220121001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (220121001103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218643213649 + 1477787364 = 467593^2 + 38442^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121001013 - 2¹ = 220121001011 is a prime.

Together with 220121001011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 220121000984 and 220121001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220121001011) by changing a digit.

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 as a sum of consecutive naturals, namely, 110060500506 + 110060500507.

It is an arithmetic number, because the mean of its divisors is an integer number (110060500507).

Almost surely, 2^220121001013 is an apocalyptic number.

It is an amenable number.

220121001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121001013 is an equidigital number, since it uses as much as digits as its factorization.

220121001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 220121001013 its reverse (310100121022), we get a palindrome (530221122035).

The spelling of 220121001013 in words is "two hundred twenty billion, one hundred twenty-one million, one thousand, thirteen".