12123310011331 has 16 divisors (see below), whose sum is σ = 12562561444608. Its totient is φ = 11692104278400.

The previous prime is 12123310011257. The next prime is 12123310011341. The reversal of 12123310011331 is 13311001332121.

12123310011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12123310011331 - 2¹⁷ = 12123309880259 is a prime.

It is a super-3 number, since 3×12123310011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123310011341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3869601 + ... + 6262621.

It is an arithmetic number, because the mean of its divisors is an integer number (785160090288).

Almost surely, 2^{12123310011331} is an apocalyptic number.

12123310011331 is a deficient number, since it is larger than the sum of its proper divisors (439251433277).

12123310011331 is a wasteful number, since it uses less digits than its factorization.

12123310011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394702.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12123310011331 its reverse (13311001332121), we get a palindrome (25434311343452).

The spelling of 12123310011331 in words is "twelve trillion, one hundred twenty-three billion, three hundred ten million, eleven thousand, three hundred thirty-one".