312012133101321 has 32 divisors (see below), whose sum is σ = 471272450025600. Its totient is φ = 182428045102080.

The previous prime is 312012133101241. The next prime is 312012133101401. The reversal of 312012133101321 is 123101331210213.

It is an interprime number because it is at equal distance from previous prime (312012133101241) and next prime (312012133101401).

It is not a de Polignac number, because 312012133101321 - 2¹¹ = 312012133099273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312012133101291 and 312012133101300.

It is not an unprimeable number, because it can be changed into a prime (312012133100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2639235526 + ... + 2639353743.

It is an arithmetic number, because the mean of its divisors is an integer number (14727264063300).

Almost surely, 2^{312012133101321} is an apocalyptic number.

It is an amenable number.

312012133101321 is a deficient number, since it is larger than the sum of its proper divisors (159260316924279).

312012133101321 is a wasteful number, since it uses less digits than its factorization.

312012133101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278589369.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 312012133101321 its reverse (123101331210213), we get a palindrome (435113464311534).

The spelling of 312012133101321 in words is "three hundred twelve trillion, twelve billion, one hundred thirty-three million, one hundred one thousand, three hundred twenty-one".