213132202231312 has 80 divisors (see below), whose sum is σ = 509059394085760. Its totient is φ = 84179822386176.

The previous prime is 213132202231283. The next prime is 213132202231313.

213132202231312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (213132202231313) 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, 117339453 + ... + 119141980.

It is an arithmetic number, because the mean of its divisors is an integer number (6363242426072).

Almost surely, 2^{213132202231312} is an apocalyptic number.

It is an amenable number.

213132202231312 is an abundant number, since it is smaller than the sum of its proper divisors (295927191854448).

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

213132202231312 is a wasteful number, since it uses less digits than its factorization.

213132202231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236482080 (or 236482074 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 21313220 and 2231312, that added together give a palindrome (23544532).

The spelling of 213132202231312 in words is "two hundred thirteen trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, three hundred twelve".