312414211442321 has 4 divisors (see below), whose sum is σ = 312414247708644. Its totient is φ = 312414175176000.

The previous prime is 312414211442317. The next prime is 312414211442329. The reversal of 312414211442321 is 123244112414213.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 224794876771921 + 87619334670400 = 14993161^2 + 9360520^2 .

It is a cyclic number.

It is not a de Polignac number, because 312414211442321 - 2² = 312414211442317 is a prime.

It is a super-2 number, since 2×312414211442321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312414211442329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2992541 + ... + 25175061.

It is an arithmetic number, because the mean of its divisors is an integer number (78103561927161).

Almost surely, 2^{312414211442321} is an apocalyptic number.

It is an amenable number.

312414211442321 is a deficient number, since it is larger than the sum of its proper divisors (36266323).

312414211442321 is a wasteful number, since it uses less digits than its factorization.

312414211442321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36266322.

The product of its digits is 36864, while the sum is 35.

Adding to 312414211442321 its reverse (123244112414213), we get a palindrome (435658323856534).

The spelling of 312414211442321 in words is "three hundred twelve trillion, four hundred fourteen billion, two hundred eleven million, four hundred forty-two thousand, three hundred twenty-one".