220100202202313 has 2 divisors, whose sum is σ = 220100202202314. Its totient is φ = 220100202202312.

The previous prime is 220100202202297. The next prime is 220100202202357. The reversal of 220100202202313 is 313202202001022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190202796708409 + 29897405493904 = 13791403^2 + 5467852^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100202202313 - 2⁴ = 220100202202297 is a prime.

It is not a weakly prime, because it can be changed into another prime (220100202202813) 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, 110050101101156 + 110050101101157.

It is an arithmetic number, because the mean of its divisors is an integer number (110050101101157).

Almost surely, 2^{220100202202313} is an apocalyptic number.

It is an amenable number.

220100202202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100202202313 is an equidigital number, since it uses as much as digits as its factorization.

220100202202313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220100202202313 its reverse (313202202001022), we get a palindrome (533302404203335).

The spelling of 220100202202313 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, two hundred two thousand, three hundred thirteen".