312000121313333 has 8 divisors (see below), whose sum is σ = 336586146412248. Its totient is φ = 288106660301824.

The previous prime is 312000121313297. The next prime is 312000121313357. The reversal of 312000121313333 is 333313121000213.

It can be written as a sum of positive squares in 4 ways, for example, as 141084817235569 + 170915304077764 = 11877913^2 + 13073458^2 .

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 312000121313333 - 2⁶ = 312000121313269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000121313033) 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, 173141020916 + ... + 173141022717.

It is an arithmetic number, because the mean of its divisors is an integer number (42073268301531).

Almost surely, 2^{312000121313333} is an apocalyptic number.

It is an amenable number.

312000121313333 is a deficient number, since it is larger than the sum of its proper divisors (24586025098915).

312000121313333 is a wasteful number, since it uses less digits than its factorization.

312000121313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346282043703.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 312000121313333 its reverse (333313121000213), we get a palindrome (645313242313546).

The spelling of 312000121313333 in words is "three hundred twelve trillion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-three".