312401222104213 has 24 divisors (see below), whose sum is σ = 346597198637760. Its totient is φ = 281342959075200.

The previous prime is 312401222104201. The next prime is 312401222104247.

312401222104213 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-312401222104213 is a prime.

It is a super-3 number, since 3×312401222104213³ (a number of 44 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 (312401222104613) 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, 1330432848 + ... + 1330667638.

It is an arithmetic number, because the mean of its divisors is an integer number (14441549943240).

Almost surely, 2^{312401222104213} is an apocalyptic number.

It is an amenable number.

312401222104213 is a deficient number, since it is larger than the sum of its proper divisors (34195976533547).

312401222104213 is a wasteful number, since it uses less digits than its factorization.

312401222104213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337689 (or 337678 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 312401222104213 in words is "three hundred twelve trillion, four hundred one billion, two hundred twenty-two million, one hundred four thousand, two hundred thirteen".