312133301424033 has 16 divisors (see below), whose sum is σ = 416814714845760. Its totient is φ = 207770386070016.

The previous prime is 312133301424011. The next prime is 312133301424047. The reversal of 312133301424033 is 330424103331213.

It is a happy number.

It is not a de Polignac number, because 312133301424033 - 2⁸ = 312133301423777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312133301423985 and 312133301424003.

It is not an unprimeable number, because it can be changed into a prime (312133301424073) 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, 156252141 + ... + 158237157.

It is an arithmetic number, because the mean of its divisors is an integer number (26050919677860).

Almost surely, 2^{312133301424033} is an apocalyptic number.

It is an amenable number.

312133301424033 is a deficient number, since it is larger than the sum of its proper divisors (104681413421727).

312133301424033 is a wasteful number, since it uses less digits than its factorization.

312133301424033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065216.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 312133301424033 its reverse (330424103331213), we get a palindrome (642557404755246).

The spelling of 312133301424033 in words is "three hundred twelve trillion, one hundred thirty-three billion, three hundred one million, four hundred twenty-four thousand, thirty-three".