213201242102312 has 64 divisors (see below), whose sum is σ = 410071162617600. Its totient is φ = 103861350835200.

The previous prime is 213201242102309. The next prime is 213201242102461.

213201242102312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3981247937 + ... + 3981301487.

It is an arithmetic number, because the mean of its divisors is an integer number (6407361915900).

Almost surely, 2^{213201242102312} is an apocalyptic number.

It is an amenable number.

213201242102312 is a deficient number, since it is larger than the sum of its proper divisors (196869920515288).

213201242102312 is a wasteful number, since it uses less digits than its factorization.

213201242102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82306 (or 82302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 213201242102312 in words is "two hundred thirteen trillion, two hundred one billion, two hundred forty-two million, one hundred two thousand, three hundred twelve".