321113101311123 has 12 divisors (see below), whose sum is σ = 470612038285704. Its totient is φ = 194614000794400.

The previous prime is 321113101311113. The next prime is 321113101311133.

321113101311123 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (321113101311113) and next prime (321113101311133).

It is not a de Polignac number, because 321113101311123 - 2¹⁸ = 321113101048979 is a prime.

It is a super-3 number, since 3×321113101311123³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321113101311093 and 321113101311102.

It is not an unprimeable number, because it can be changed into a prime (321113101311103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442304546898 + ... + 442304547623.

It is an arithmetic number, because the mean of its divisors is an integer number (39217669857142).

Almost surely, 2^{321113101311123} is an apocalyptic number.

321113101311123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321113101311123 is a deficient number, since it is larger than the sum of its proper divisors (149498936974581).

321113101311123 is a wasteful number, since it uses less digits than its factorization.

321113101311123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884609094546 (or 884609094535 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 32111310 and 1311123, that added together give a palindrome (33422433).

The spelling of 321113101311123 in words is "three hundred twenty-one trillion, one hundred thirteen billion, one hundred one million, three hundred eleven thousand, one hundred twenty-three".