312144202441213 has 4 divisors (see below), whose sum is σ = 314906540516028. Its totient is φ = 309381864366400.

The previous prime is 312144202441147. The next prime is 312144202441229.

312144202441213 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 133242395766489 + 178901806674724 = 11543067^2 + 13375418^2 .

It is a cyclic number.

It is not a de Polignac number, because 312144202441213 - 2²¹ = 312144200344061 is a prime.

It is a super-2 number, since 2×312144202441213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312144202441273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1381169037238 + ... + 1381169037463.

It is an arithmetic number, because the mean of its divisors is an integer number (78726635129007).

Almost surely, 2^{312144202441213} is an apocalyptic number.

It is an amenable number.

312144202441213 is a deficient number, since it is larger than the sum of its proper divisors (2762338074815).

312144202441213 is a wasteful number, since it uses less digits than its factorization.

312144202441213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762338074814.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 31214420 and 2441213, that added together give a palindrome (33655633).

The spelling of 312144202441213 in words is "three hundred twelve trillion, one hundred forty-four billion, two hundred two million, four hundred forty-one thousand, two hundred thirteen".