312000133210401 has 8 divisors (see below), whose sum is σ = 418755145678144. Its totient is φ = 206622604774800.

The previous prime is 312000133210379. The next prime is 312000133210411. The reversal of 312000133210401 is 104012331000213.

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

It is not a de Polignac number, because 312000133210401 - 2¹¹ = 312000133208353 is a prime.

It is a super-3 number, since 3×312000133210401³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312000133210411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344371007506 + ... + 344371008411.

It is an arithmetic number, because the mean of its divisors is an integer number (52344393209768).

Almost surely, 2^{312000133210401} is an apocalyptic number.

It is an amenable number.

312000133210401 is a deficient number, since it is larger than the sum of its proper divisors (106755012467743).

312000133210401 is a wasteful number, since it uses less digits than its factorization.

312000133210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688742016071.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312000133210401 its reverse (104012331000213), we get a palindrome (416012464210614).

The spelling of 312000133210401 in words is "three hundred twelve trillion, one hundred thirty-three million, two hundred ten thousand, four hundred one".