312433343334213 has 8 divisors (see below), whose sum is σ = 417648685178400. Its totient is φ = 207753448523088.

The previous prime is 312433343334191. The next prime is 312433343334247.

It is a happy number.

312433343334213 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 312433343334213 - 2¹³ = 312433343326021 is a prime.

It is a super-2 number, since 2×312433343334213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312433353334213) 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 7 ways as a sum of consecutive naturals, for example, 133861756903 + ... + 133861759236.

It is an arithmetic number, because the mean of its divisors is an integer number (52206085647300).

Almost surely, 2^{312433343334213} is an apocalyptic number.

It is an amenable number.

312433343334213 is a deficient number, since it is larger than the sum of its proper divisors (105215341844187).

312433343334213 is a wasteful number, since it uses less digits than its factorization.

312433343334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267723516531.

The product of its digits is 1679616, while the sum is 42.

The spelling of 312433343334213 in words is "three hundred twelve trillion, four hundred thirty-three billion, three hundred forty-three million, three hundred thirty-four thousand, two hundred thirteen".