213621126312 has 64 divisors (see below), whose sum is σ = 582705446400. Its totient is φ = 64722299840.

The previous prime is 213621126283. The next prime is 213621126343.

213621126312 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213621126312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499773 + ... + 1636019.

It is an arithmetic number, because the mean of its divisors is an integer number (9104772600).

Almost surely, 2^213621126312 is an apocalyptic number.

213621126312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213621126312 is an abundant number, since it is smaller than the sum of its proper divisors (369084320088).

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

213621126312 is a wasteful number, since it uses less digits than its factorization.

213621126312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142206 (or 142202 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 213621 and 126312, that added together give a palindrome (339933).

The spelling of 213621126312 in words is "two hundred thirteen billion, six hundred twenty-one million, one hundred twenty-six thousand, three hundred twelve".