164331214133 has 2 divisors, whose sum is σ = 164331214134. Its totient is φ = 164331214132.

The previous prime is 164331214127. The next prime is 164331214147. The reversal of 164331214133 is 331412133461.

164331214133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119886985009 + 44444229124 = 346247^2 + 210818^2 .

It is a cyclic number.

It is not a de Polignac number, because 164331214133 - 2⁸ = 164331213877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164331214133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164331214433) 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, 82165607066 + 82165607067.

It is an arithmetic number, because the mean of its divisors is an integer number (82165607067).

Almost surely, 2^164331214133 is an apocalyptic number.

It is an amenable number.

164331214133 is a deficient number, since it is larger than the sum of its proper divisors (1).

164331214133 is an equidigital number, since it uses as much as digits as its factorization.

164331214133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

Adding to 164331214133 its reverse (331412133461), we get a palindrome (495743347594).

The spelling of 164331214133 in words is "one hundred sixty-four billion, three hundred thirty-one million, two hundred fourteen thousand, one hundred thirty-three".