321144101441123 has 2 divisors, whose sum is σ = 321144101441124. Its totient is φ = 321144101441122.

The previous prime is 321144101441113. The next prime is 321144101441143.

321144101441123 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 321144101441123 - 2²⁴ = 321144084663907 is a prime.

It is a super-2 number, since 2×321144101441123² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 321144101441123.

It is not a weakly prime, because it can be changed into another prime (321144101441113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160572050720561 + 160572050720562.

It is an arithmetic number, because the mean of its divisors is an integer number (160572050720562).

Almost surely, 2^{321144101441123} is an apocalyptic number.

321144101441123 is a deficient number, since it is larger than the sum of its proper divisors (1).

321144101441123 is an equidigital number, since it uses as much as digits as its factorization.

321144101441123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 32114410 and 1441123, that added together give a palindrome (33555533).

The spelling of 321144101441123 in words is "three hundred twenty-one trillion, one hundred forty-four billion, one hundred one million, four hundred forty-one thousand, one hundred twenty-three".