312141213 has 24 divisors (see below), whose sum is σ = 464014200. Its totient is φ = 202051584.

The previous prime is 312141169. The next prime is 312141217.

312141213 is a `hidden beast` number, since 312 + 141 + 213 = 666.

312141213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12089529 + 300051684 = 3477^2 + 17322^2 .

It is not a de Polignac number, because 312141213 - 2¹³ = 312133021 is a prime.

It is a super-2 number, since 2×312141213² = 194864273706222738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308853 + ... + 309861.

It is an arithmetic number, because the mean of its divisors is an integer number (19333925).

Almost surely, 2^312141213 is an apocalyptic number.

It is an amenable number.

312141213 is a deficient number, since it is larger than the sum of its proper divisors (151872987).

312141213 is a wasteful number, since it uses less digits than its factorization.

312141213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1978 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312141213 is about 17667.5185863777. The cubic root of 312141213 is about 678.3445986266.

The spelling of 312141213 in words is "three hundred twelve million, one hundred forty-one thousand, two hundred thirteen".