301020002212133 has 2 divisors, whose sum is σ = 301020002212134. Its totient is φ = 301020002212132.

The previous prime is 301020002212121. The next prime is 301020002212199. The reversal of 301020002212133 is 331212200020103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200919937192129 + 100100065020004 = 14174623^2 + 10005002^2 .

It is a cyclic number.

It is not a de Polignac number, because 301020002212133 - 2¹⁶ = 301020002146597 is a prime.

It is a super-2 number, since 2×301020002212133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301020002214133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150510001106066 + 150510001106067.

It is an arithmetic number, because the mean of its divisors is an integer number (150510001106067).

Almost surely, 2^{301020002212133} is an apocalyptic number.

It is an amenable number.

301020002212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

301020002212133 is an equidigital number, since it uses as much as digits as its factorization.

301020002212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 301020002212133 its reverse (331212200020103), we get a palindrome (632232202232236).

The spelling of 301020002212133 in words is "three hundred one trillion, twenty billion, two million, two hundred twelve thousand, one hundred thirty-three".