321431101134123 has 48 divisors (see below), whose sum is σ = 487193571952416. Its totient is φ = 187699587609600.

The previous prime is 321431101134109. The next prime is 321431101134181.

It is a happy number.

321431101134123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321431101134123 - 2²⁵ = 321431067579691 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321431101134223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160003428 + ... + 161999873.

It is an arithmetic number, because the mean of its divisors is an integer number (10149866082342).

Almost surely, 2^{321431101134123} is an apocalyptic number.

321431101134123 is a deficient number, since it is larger than the sum of its proper divisors (165762470818293).

321431101134123 is a wasteful number, since it uses less digits than its factorization.

321431101134123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322003404 (or 322003381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 32143110 and 1134123, that added together give a palindrome (33277233).

The spelling of 321431101134123 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred one million, one hundred thirty-four thousand, one hundred twenty-three".