312132421100133 has 24 divisors (see below), whose sum is σ = 477403250021568. Its totient is φ = 195837843664512.

The previous prime is 312132421100119. The next prime is 312132421100183. The reversal of 312132421100133 is 331001124231213.

312132421100133 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 2 + 421 + 100 + 133 = 666.

It is not a de Polignac number, because 312132421100133 - 2¹⁶ = 312132421034597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132421100097 and 312132421100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132421100183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48800791 + ... + 54825012.

It is an arithmetic number, because the mean of its divisors is an integer number (19891802084232).

Almost surely, 2^{312132421100133} is an apocalyptic number.

It is an amenable number.

312132421100133 is a deficient number, since it is larger than the sum of its proper divisors (165270828921435).

312132421100133 is a wasteful number, since it uses less digits than its factorization.

312132421100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103645513 (or 103645510 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312132421100133 its reverse (331001124231213), we get a palindrome (643133545331346).

The spelling of 312132421100133 in words is "three hundred twelve trillion, one hundred thirty-two billion, four hundred twenty-one million, one hundred thousand, one hundred thirty-three".