213014323410312 has 64 divisors (see below), whose sum is σ = 536077993651200. Its totient is φ = 70532510241600.

The previous prime is 213014323410311. The next prime is 213014323410349.

213014323410312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213014323410312.

It is not an unprimeable number, because it can be changed into a prime (213014323410311) 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, 127528693 + ... + 129188219.

It is an arithmetic number, because the mean of its divisors is an integer number (8376218650800).

Almost surely, 2^{213014323410312} is an apocalyptic number.

It is an amenable number.

213014323410312 is an abundant number, since it is smaller than the sum of its proper divisors (323063670240888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213014323410312 is a wasteful number, since it uses less digits than its factorization.

213014323410312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695106 (or 1695102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 213014323410312 in words is "two hundred thirteen trillion, fourteen billion, three hundred twenty-three million, four hundred ten thousand, three hundred twelve".