312144441213 has 32 divisors (see below), whose sum is σ = 481341284352. Its totient is φ = 178127899200.

The previous prime is 312144441197. The next prime is 312144441221.

It is a happy number.

312144441213 is nontrivially palindromic in base 10.

312144441213 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312144441213 - 2⁴ = 312144441197 is a prime.

It is a super-2 number, since 2×312144441213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312144441263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085481 + ... + 4161182.

It is an arithmetic number, because the mean of its divisors is an integer number (15041915136).

Almost surely, 2^312144441213 is an apocalyptic number.

312144441213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312144441213 is a deficient number, since it is larger than the sum of its proper divisors (169196843139).

312144441213 is a wasteful number, since it uses less digits than its factorization.

312144441213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246745.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 312144 and 441213, that added together give a palindrome (753357).

The spelling of 312144441213 in words is "three hundred twelve billion, one hundred forty-four million, four hundred forty-one thousand, two hundred thirteen".