220020101100013 has 2 divisors, whose sum is σ = 220020101100014. Its totient is φ = 220020101100012.

The previous prime is 220020101099977. The next prime is 220020101100017. The reversal of 220020101100013 is 310001101020022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149248565193289 + 70771535906724 = 12216733^2 + 8412582^2 .

It is a cyclic number.

It is not a de Polignac number, because 220020101100013 - 2²¹ = 220020099002861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220020101099966 and 220020101100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220020101100017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110010050550006 + 110010050550007.

It is an arithmetic number, because the mean of its divisors is an integer number (110010050550007).

Almost surely, 2^{220020101100013} is an apocalyptic number.

It is an amenable number.

220020101100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220020101100013 is an equidigital number, since it uses as much as digits as its factorization.

220020101100013 is an evil number, because the sum of its binary digits is even.

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

Adding to 220020101100013 its reverse (310001101020022), we get a palindrome (530021202120035).

The spelling of 220020101100013 in words is "two hundred twenty trillion, twenty billion, one hundred one million, one hundred thousand, thirteen".