2221002123313 has 2 divisors, whose sum is σ = 2221002123314. Its totient is φ = 2221002123312.

The previous prime is 2221002123247. The next prime is 2221002123317. The reversal of 2221002123313 is 3133212001222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1208467085809 + 1012535037504 = 1099303^2 + 1006248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2221002123313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221002123317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110501061656 + 1110501061657.

It is an arithmetic number, because the mean of its divisors is an integer number (1110501061657).

Almost surely, 2^{2221002123313} is an apocalyptic number.

It is an amenable number.

2221002123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221002123313 is an equidigital number, since it uses as much as digits as its factorization.

2221002123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2221002123313 its reverse (3133212001222), we get a palindrome (5354214124535).

The spelling of 2221002123313 in words is "two trillion, two hundred twenty-one billion, two million, one hundred twenty-three thousand, three hundred thirteen".