220102313 has 2 divisors, whose sum is σ = 220102314. Its totient is φ = 220102312.

The previous prime is 220102291. The next prime is 220102339. The reversal of 220102313 is 313201022.

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., 158055184 + 62047129 = 12572^2 + 7877^2 .

It is a cyclic number.

It is not a de Polignac number, because 220102313 - 2¹⁸ = 219840169 is a prime.

It is not a weakly prime, because it can be changed into another prime (220102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110051156 + 110051157.

It is an arithmetic number, because the mean of its divisors is an integer number (110051157).

Almost surely, 2^220102313 is an apocalyptic number.

It is an amenable number.

220102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220102313 is an equidigital number, since it uses as much as digits as its factorization.

220102313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220102313 is about 14835.8455438172. The cubic root of 220102313 is about 603.7746416335.

Adding to 220102313 its reverse (313201022), we get a palindrome (533303335).

The spelling of 220102313 in words is "two hundred twenty million, one hundred two thousand, three hundred thirteen".