312603222306213 has 24 divisors (see below), whose sum is σ = 457909662614976. Its totient is φ = 205461528854400.

The previous prime is 312603222306169. The next prime is 312603222306227.

It is a happy number.

312603222306213 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 0 + 3 + 2 + 2 + 23 + 0 + 621 + 3 = 666.

312603222306213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312603222306213 - 2¹⁴ = 312603222289829 is a prime.

It is a super-4 number, since 4×312603222306213⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312603222306113) 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, 18104106 + ... + 30870132.

It is an arithmetic number, because the mean of its divisors is an integer number (19079569275624).

Almost surely, 2^{312603222306213} is an apocalyptic number.

It is an amenable number.

312603222306213 is a deficient number, since it is larger than the sum of its proper divisors (145306440308763).

312603222306213 is a wasteful number, since it uses less digits than its factorization.

312603222306213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804425 (or 12804422 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 312603222306213 in words is "three hundred twelve trillion, six hundred three billion, two hundred twenty-two million, three hundred six thousand, two hundred thirteen".