213414000414312 has 64 divisors (see below), whose sum is σ = 534479917124160. Its totient is φ = 71012107059200.

The previous prime is 213414000414289. The next prime is 213414000414367.

It is a happy number.

213414000414312 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 213414000414312.

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, 32693608 + ... + 38674280.

It is an arithmetic number, because the mean of its divisors is an integer number (8351248705065).

Almost surely, 2^{213414000414312} is an apocalyptic number.

It is an amenable number.

213414000414312 is an abundant number, since it is smaller than the sum of its proper divisors (321065916709848).

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

213414000414312 is a wasteful number, since it uses less digits than its factorization.

213414000414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983314 (or 5983310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 213414000 and 414312, that added together give a palindrome (213828312).

The spelling of 213414000414312 in words is "two hundred thirteen trillion, four hundred fourteen billion, four hundred fourteen thousand, three hundred twelve".