300213224424401 has 2 divisors, whose sum is σ = 300213224424402. Its totient is φ = 300213224424400.

The previous prime is 300213224424329. The next prime is 300213224424473. The reversal of 300213224424401 is 104424422312003.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (300213224424329) and next prime (300213224424473).

It can be written as a sum of positive squares in only one way, i.e., 300211933890625 + 1290533776 = 17326625^2 + 35924^2 .

It is a cyclic number.

It is not a de Polignac number, because 300213224424401 - 2²² = 300213220230097 is a prime.

It is a super-2 number, since 2×300213224424401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (300213224424481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150106612212200 + 150106612212201.

It is an arithmetic number, because the mean of its divisors is an integer number (150106612212201).

Almost surely, 2^{300213224424401} is an apocalyptic number.

It is an amenable number.

300213224424401 is a deficient number, since it is larger than the sum of its proper divisors (1).

300213224424401 is an equidigital number, since it uses as much as digits as its factorization.

300213224424401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 300213224424401 its reverse (104424422312003), we get a palindrome (404637646736404).

The spelling of 300213224424401 in words is "three hundred trillion, two hundred thirteen billion, two hundred twenty-four million, four hundred twenty-four thousand, four hundred one".