312141421340331 has 128 divisors (see below), whose sum is σ = 487872140055552. Its totient is φ = 175421030400000.

The previous prime is 312141421340293. The next prime is 312141421340341. The reversal of 312141421340331 is 133043124141213.

It is a happy number.

It is not a de Polignac number, because 312141421340331 - 2⁴² = 307743374829227 is a prime.

It is a super-2 number, since 2×312141421340331² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312141421340292 and 312141421340301.

It is not an unprimeable number, because it can be changed into a prime (312141421340341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33777878871 + ... + 33777888111.

It is an arithmetic number, because the mean of its divisors is an integer number (3811501094184).

Almost surely, 2^{312141421340331} is an apocalyptic number.

312141421340331 is a deficient number, since it is larger than the sum of its proper divisors (175730718715221).

312141421340331 is a wasteful number, since it uses less digits than its factorization.

312141421340331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 312141421340331 its reverse (133043124141213), we get a palindrome (445184545481544).

The spelling of 312141421340331 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred forty thousand, three hundred thirty-one".