322131222213131 has 32 divisors (see below), whose sum is σ = 332660562716160. Its totient is φ = 311783482067200.

The previous prime is 322131222213107. The next prime is 322131222213181. The reversal of 322131222213131 is 131312222131223.

It is a cyclic number.

It is not a de Polignac number, because 322131222213131 - 2¹⁸ = 322131221950987 is a prime.

It is a super-3 number, since 3×322131222213131³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 322131222213094 and 322131222213103.

It is not an unprimeable number, because it can be changed into a prime (322131222213181) 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 in 31 ways as a sum of consecutive naturals, for example, 8282905196 + ... + 8282944086.

It is an arithmetic number, because the mean of its divisors is an integer number (10395642584880).

Almost surely, 2^{322131222213131} is an apocalyptic number.

322131222213131 is a deficient number, since it is larger than the sum of its proper divisors (10529340503029).

322131222213131 is a wasteful number, since it uses less digits than its factorization.

322131222213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43027.

The product of its digits is 5184, while the sum is 29.

Adding to 322131222213131 its reverse (131312222131223), we get a palindrome (453443444344354).

The spelling of 322131222213131 in words is "three hundred twenty-two trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-one".