312141131121321 has 8 divisors (see below), whose sum is σ = 462431305364960. Its totient is φ = 208094087414196.

The previous prime is 312141131121311. The next prime is 312141131121341. The reversal of 312141131121321 is 123121131141213.

312141131121321 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 1 + 1 + 311 + 21 + 321 = 666.

It is not a de Polignac number, because 312141131121321 - 2⁹ = 312141131120809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11560782634123 = 312141131121321 / (3 + 1 + 2 + 1 + 4 + 1 + 1 + 3 + 1 + 1 + 2 + 1 + 3 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312141131121311) 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, 5780391317035 + ... + 5780391317088.

It is an arithmetic number, because the mean of its divisors is an integer number (57803913170620).

Almost surely, 2^{312141131121321} is an apocalyptic number.

It is an amenable number.

312141131121321 is a deficient number, since it is larger than the sum of its proper divisors (150290174243639).

312141131121321 is a wasteful number, since it uses less digits than its factorization.

312141131121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560782634132 (or 11560782634126 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 312141131121321 its reverse (123121131141213), we get a palindrome (435262262262534).

The spelling of 312141131121321 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-one".