312423000013233 has 48 divisors (see below), whose sum is σ = 457509503880000. Its totient is φ = 205423083262080.

The previous prime is 312423000013169. The next prime is 312423000013297. The reversal of 312423000013233 is 332310000324213.

312423000013233 is a `hidden beast` number, since 3 + 1 + 2 + 423 + 0 + 0 + 0 + 0 + 1 + 3 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (312423000013169) and next prime (312423000013297).

It is not a de Polignac number, because 312423000013233 - 2⁶ = 312423000013169 is a prime.

It is a super-2 number, since 2×312423000013233² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312423000013197 and 312423000013206.

It is not an unprimeable number, because it can be changed into a prime (312423000013433) 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, 6311678518 + ... + 6311728016.

It is an arithmetic number, because the mean of its divisors is an integer number (9531447997500).

Almost surely, 2^{312423000013233} is an apocalyptic number.

It is an amenable number.

312423000013233 is a deficient number, since it is larger than the sum of its proper divisors (145086503866767).

312423000013233 is a wasteful number, since it uses less digits than its factorization.

312423000013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78462 (or 78459 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312423000013233 its reverse (332310000324213), we get a palindrome (644733000337446).

The spelling of 312423000013233 in words is "three hundred twelve trillion, four hundred twenty-three billion, thirteen thousand, two hundred thirty-three".