213420363024312 has 96 divisors (see below), whose sum is σ = 594623219888880. Its totient is φ = 69102244108800.

The previous prime is 213420363024307. The next prime is 213420363024347.

213420363024312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 0 + 3 + 630 + 2 + 4 + 3 + 12 = 666.

213420363024312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213420363024312² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65048478 + ... + 68250605.

Almost surely, 2^{213420363024312} is an apocalyptic number.

It is an amenable number.

213420363024312 is an abundant number, since it is smaller than the sum of its proper divisors (381202856864568).

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

213420363024312 is a wasteful number, since it uses less digits than its factorization.

213420363024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133299733 (or 133299726 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 213420363024312 in words is "two hundred thirteen trillion, four hundred twenty billion, three hundred sixty-three million, twenty-four thousand, three hundred twelve".