312334301010321 has 12 divisors (see below), whose sum is σ = 465702757062400. Its totient is φ = 201506000651640.

The previous prime is 312334301010287. The next prime is 312334301010427. The reversal of 312334301010321 is 123010103433213.

312334301010321 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 34 + 301 + 0 + 1 + 0 + 321 = 666.

It is not a de Polignac number, because 312334301010321 - 2¹⁴ = 312334300993937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312334301018321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559738890421 + ... + 559738890978.

Almost surely, 2^{312334301010321} is an apocalyptic number.

312334301010321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312334301010321 is a deficient number, since it is larger than the sum of its proper divisors (153368456052079).

312334301010321 is a wasteful number, since it uses less digits than its factorization.

312334301010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119477781436 (or 1119477781433 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312334301010321 its reverse (123010103433213), we get a palindrome (435344404443534).

The spelling of 312334301010321 in words is "three hundred twelve trillion, three hundred thirty-four billion, three hundred one million, ten thousand, three hundred twenty-one".