312133201332041 has 16 divisors (see below), whose sum is σ = 326824210661760. Its totient is φ = 297535577665920.

The previous prime is 312133201331999. The next prime is 312133201332053. The reversal of 312133201332041 is 140233102331213.

It is a cyclic number.

It is not a de Polignac number, because 312133201332041 - 2¹⁸ = 312133201069897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312133201331995 and 312133201332013.

It is not an unprimeable number, because it can be changed into a prime (312133201332941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271418990 + ... + 272566568.

It is an arithmetic number, because the mean of its divisors is an integer number (20426513166360).

Almost surely, 2^{312133201332041} is an apocalyptic number.

It is an amenable number.

312133201332041 is a deficient number, since it is larger than the sum of its proper divisors (14691009329719).

312133201332041 is a wasteful number, since it uses less digits than its factorization.

312133201332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188256.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 312133201332041 its reverse (140233102331213), we get a palindrome (452366303663254).

The spelling of 312133201332041 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred one million, three hundred thirty-two thousand, forty-one".