213122021200133 has 2 divisors, whose sum is σ = 213122021200134. Its totient is φ = 213122021200132.

The previous prime is 213122021200093. The next prime is 213122021200141. The reversal of 213122021200133 is 331002120221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209071877025124 + 4050144175009 = 14459318^2 + 2012497^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122021200133 - 2⁸ = 213122021199877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213122021200099 and 213122021200108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122021200183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561010600066 + 106561010600067.

It is an arithmetic number, because the mean of its divisors is an integer number (106561010600067).

Almost surely, 2^{213122021200133} is an apocalyptic number.

It is an amenable number.

213122021200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122021200133 is an equidigital number, since it uses as much as digits as its factorization.

213122021200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213122021200133 its reverse (331002120221312), we get a palindrome (544124141421445).

The spelling of 213122021200133 in words is "two hundred thirteen trillion, one hundred twenty-two billion, twenty-one million, two hundred thousand, one hundred thirty-three".