213141262141312 has 128 divisors (see below), whose sum is σ = 442999292313600. Its totient is φ = 102020732835840.

The previous prime is 213141262141261. The next prime is 213141262141319.

213141262141312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141262141319) 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, 746121387 + ... + 746406997.

It is an arithmetic number, because the mean of its divisors is an integer number (3460931971200).

Almost surely, 2^{213141262141312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213141262141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221499646156800).

213141262141312 is an abundant number, since it is smaller than the sum of its proper divisors (229858030172288).

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

213141262141312 is a wasteful number, since it uses less digits than its factorization.

213141262141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287364 (or 287352 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The spelling of 213141262141312 in words is "two hundred thirteen trillion, one hundred forty-one billion, two hundred sixty-two million, one hundred forty-one thousand, three hundred twelve".