213413323314312 has 72 divisors (see below), whose sum is σ = 635316177729870. Its totient is φ = 64670704032000.

The previous prime is 213413323314259. The next prime is 213413323314353.

213413323314312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 3 + 3 + 2 + 331 + 4 + 312 = 666.

213413323314312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 208591987685796 + 4821335628516 = 14442714^2 + 2195754^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12248230689 + ... + 12248248112.

Almost surely, 2^{213413323314312} is an apocalyptic number.

213413323314312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213413323314312 is an abundant number, since it is smaller than the sum of its proper divisors (421902854415558).

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

213413323314312 is a wasteful number, since it uses less digits than its factorization.

213413323314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24496478835 (or 24496478817 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 213413323314312 in words is "two hundred thirteen trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred fourteen thousand, three hundred twelve".