213000040000312 has 64 divisors (see below), whose sum is σ = 417797865540000. Its totient is φ = 101670015068160.

The previous prime is 213000040000259. The next prime is 213000040000313.

It is a happy number.

213000040000312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000040000313) 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, 1314969487 + ... + 1315131457.

Almost surely, 2^{213000040000312} is an apocalyptic number.

It is an amenable number.

213000040000312 is a deficient number, since it is larger than the sum of its proper divisors (204797825539688).

213000040000312 is a wasteful number, since it uses less digits than its factorization.

213000040000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225784 (or 225780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 213000040000312 in words is "two hundred thirteen trillion, forty million, three hundred twelve", and thus it is an aban number.