312331213321 has 8 divisors (see below), whose sum is σ = 330737216904. Its totient is φ = 293928940800.

The previous prime is 312331213297. The next prime is 312331213343. The reversal of 312331213321 is 123312133213.

It can be written as a sum of positive squares in 4 ways, for example, as 259401769225 + 52929444096 = 509315^2 + 230064^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 312331213321 - 2⁷ = 312331213193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312331213391) 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, 759490 + ... + 1096123.

It is an arithmetic number, because the mean of its divisors is an integer number (41342152113).

Almost surely, 2^312331213321 is an apocalyptic number.

It is an amenable number.

312331213321 is a deficient number, since it is larger than the sum of its proper divisors (18406003583).

312331213321 is a wasteful number, since it uses less digits than its factorization.

312331213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865531.

The product of its digits is 1944, while the sum is 25.

Adding to 312331213321 its reverse (123312133213), we get a palindrome (435643346534).

It can be divided in two parts, 3 and 12331213321, that multiplied together give a palindrome (36993639963).

The spelling of 312331213321 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-one".