312141432322133 has 8 divisors (see below), whose sum is σ = 329279583043200. Its totient is φ = 295074247029408.

The previous prime is 312141432322129. The next prime is 312141432322177. The reversal of 312141432322133 is 331223234141213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312141432322133 - 2² = 312141432322129 is a prime.

It is a super-2 number, since 2×312141432322133² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312141432322093 and 312141432322102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141432322103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17741348048 + ... + 17741365641.

It is an arithmetic number, because the mean of its divisors is an integer number (41159947880400).

Almost surely, 2^{312141432322133} is an apocalyptic number.

It is an amenable number.

312141432322133 is a deficient number, since it is larger than the sum of its proper divisors (17138150721067).

312141432322133 is a wasteful number, since it uses less digits than its factorization.

312141432322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35482714171.

The product of its digits is 62208, while the sum is 35.

Adding to 312141432322133 its reverse (331223234141213), we get a palindrome (643364666463346).

The spelling of 312141432322133 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-two million, three hundred twenty-two thousand, one hundred thirty-three".