213144525441312 has 96 divisors (see below), whose sum is σ = 571308743823552. Its totient is φ = 69563416449024.

The previous prime is 213144525441247. The next prime is 213144525441313.

213144525441312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (213144525441313) 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, 110041578 + ... + 111961769.

It is an arithmetic number, because the mean of its divisors is an integer number (5951132748162).

Almost surely, 2^{213144525441312} is an apocalyptic number.

It is an amenable number.

213144525441312 is an abundant number, since it is smaller than the sum of its proper divisors (358164218382240).

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

213144525441312 is a wasteful number, since it uses less digits than its factorization.

213144525441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222003570 (or 222003562 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 213144525441312 in words is "two hundred thirteen trillion, one hundred forty-four billion, five hundred twenty-five million, four hundred forty-one thousand, three hundred twelve".