312333333213 has 16 divisors (see below), whose sum is σ = 454312869696. Its totient is φ = 189288829440.

The previous prime is 312333333209. The next prime is 312333333229.

It is a happy number.

312333333213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312333333213 - 2² = 312333333209 is a prime.

It is a super-2 number, since 2×312333333213² (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 (312333333293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250445 + ... + 2385197.

It is an arithmetic number, because the mean of its divisors is an integer number (28394554356).

Almost surely, 2^312333333213 is an apocalyptic number.

312333333213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312333333213 is a deficient number, since it is larger than the sum of its proper divisors (141979536483).

312333333213 is a wasteful number, since it uses less digits than its factorization.

312333333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205004.

The product of its digits is 26244, while the sum is 30.

It can be divided in two parts, 312333 and 333213, that added together give a palindrome (645546).

The spelling of 312333333213 in words is "three hundred twelve billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred thirteen".