322223032122133 has 16 divisors (see below), whose sum is σ = 328641017387760. Its totient is φ = 315817744612864.

The previous prime is 322223032122113. The next prime is 322223032122137. The reversal of 322223032122133 is 331221230322223.

It can be written as a sum of positive squares in 8 ways, for example, as 20932519092849 + 301290513029284 = 4575207^2 + 17357722^2 .

It is a cyclic number.

It is not a de Polignac number, because 322223032122133 - 2²⁹ = 322222495251221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 322223032122095 and 322223032122104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322223032122137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199235103 + ... + 200845891.

It is an arithmetic number, because the mean of its divisors is an integer number (20540063586735).

Almost surely, 2^{322223032122133} is an apocalyptic number.

It is an amenable number.

322223032122133 is a deficient number, since it is larger than the sum of its proper divisors (6417985265627).

322223032122133 is a wasteful number, since it uses less digits than its factorization.

322223032122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614728.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 322223032122133 its reverse (331221230322223), we get a palindrome (653444262444356).

The spelling of 322223032122133 in words is "three hundred twenty-two trillion, two hundred twenty-three billion, thirty-two million, one hundred twenty-two thousand, one hundred thirty-three".