12312133311231 has 128 divisors (see below), whose sum is σ = 20463528960000. Its totient is φ = 7266597101568.

The previous prime is 12312133311193. The next prime is 12312133311263. The reversal of 12312133311231 is 13211333121321.

12312133311231 is a `hidden beast` number, since 1 + 2 + 312 + 1 + 3 + 3 + 311 + 2 + 31 = 666.

It is not a de Polignac number, because 12312133311231 - 2¹³ = 12312133303039 is a prime.

It is a super-2 number, since 2×12312133311231² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12312133311195 and 12312133311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312133311271) 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, 483973810 + ... + 483999248.

It is an arithmetic number, because the mean of its divisors is an integer number (159871320000).

Almost surely, 2^{12312133311231} is an apocalyptic number.

12312133311231 is a deficient number, since it is larger than the sum of its proper divisors (8151395648769).

12312133311231 is a wasteful number, since it uses less digits than its factorization.

12312133311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26030 (or 26024 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 12312133311231 its reverse (13211333121321), we get a palindrome (25523466432552).

The spelling of 12312133311231 in words is "twelve trillion, three hundred twelve billion, one hundred thirty-three million, three hundred eleven thousand, two hundred thirty-one".