213233131009 has 2 divisors, whose sum is σ = 213233131010. Its totient is φ = 213233131008.

The previous prime is 213233130991. The next prime is 213233131021. The reversal of 213233131009 is 900131332312.

213233131009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142485110784 + 70748020225 = 377472^2 + 265985^2 .

It is a cyclic number.

It is not a de Polignac number, because 213233131009 - 2⁵ = 213233130977 is a prime.

It is not a weakly prime, because it can be changed into another prime (213233131079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106616565504 + 106616565505.

It is an arithmetic number, because the mean of its divisors is an integer number (106616565505).

Almost surely, 2^213233131009 is an apocalyptic number.

It is an amenable number.

213233131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

213233131009 is an equidigital number, since it uses as much as digits as its factorization.

213233131009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 213233131009 in words is "two hundred thirteen billion, two hundred thirty-three million, one hundred thirty-one thousand, nine".