312614416213 has 16 divisors (see below), whose sum is σ = 359139896640. Its totient is φ = 269119670400.

The previous prime is 312614416181. The next prime is 312614416223.

312614416213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312614416213 - 2⁵ = 312614416181 is a prime.

It is a super-3 number, since 3×312614416213³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312614416223) 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 15 ways as a sum of consecutive naturals, for example, 154483 + ... + 805663.

It is an arithmetic number, because the mean of its divisors is an integer number (22446243540).

Almost surely, 2^312614416213 is an apocalyptic number.

It is an amenable number.

312614416213 is a deficient number, since it is larger than the sum of its proper divisors (46525480427).

312614416213 is a wasteful number, since it uses less digits than its factorization.

312614416213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653508.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 312614 and 416213, that added together give a palindrome (728827).

The spelling of 312614416213 in words is "three hundred twelve billion, six hundred fourteen million, four hundred sixteen thousand, two hundred thirteen".