321332101233123 has 128 divisors (see below), whose sum is σ = 455886301178880. Its totient is φ = 201057768898560.

The previous prime is 321332101233067. The next prime is 321332101233203.

321332101233123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321332101233123 - 2⁴⁴ = 303739915188707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321332101231123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127462157103 + ... + 127462159623.

It is an arithmetic number, because the mean of its divisors is an integer number (3561611727960).

Almost surely, 2^{321332101233123} is an apocalyptic number.

321332101233123 is a deficient number, since it is larger than the sum of its proper divisors (134554199945757).

321332101233123 is a wasteful number, since it uses less digits than its factorization.

321332101233123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 32133210 and 1233123, that added together give a palindrome (33366333).

The spelling of 321332101233123 in words is "three hundred twenty-one trillion, three hundred thirty-two billion, one hundred one million, two hundred thirty-three thousand, one hundred twenty-three".