2301220013 has 2 divisors, whose sum is σ = 2301220014. Its totient is φ = 2301220012.

The previous prime is 2301219983. The next prime is 2301220021. The reversal of 2301220013 is 3100221032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2250268969 + 50951044 = 47437^2 + 7138^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301220013 - 2¹⁰ = 2301218989 is a prime.

It is a super-2 number, since 2×2301220013² = 10591227096463440338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2301220013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301220043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150610006 + 1150610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1150610007).

Almost surely, 2^2301220013 is an apocalyptic number.

It is an amenable number.

2301220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301220013 is an equidigital number, since it uses as much as digits as its factorization.

2301220013 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 2301220013 is about 47971.0330616300. The cubic root of 2301220013 is about 1320.2394754144.

Adding to 2301220013 its reverse (3100221032), we get a palindrome (5401441045).

The spelling of 2301220013 in words is "two billion, three hundred one million, two hundred twenty thousand, thirteen".