213111221320 has 64 divisors (see below), whose sum is σ = 492114132720. Its totient is φ = 83025506304.

The previous prime is 213111221303. The next prime is 213111221321. The reversal of 213111221320 is 23122111312.

It can be written as a sum of positive squares in 8 ways, for example, as 167017707684 + 46093513636 = 408678^2 + 214694^2 .

It is a super-3 number, since 3×213111221320³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213111221321) 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, 76437 + ... + 657316.

Almost surely, 2^213111221320 is an apocalyptic number.

213111221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111221320 is an abundant number, since it is smaller than the sum of its proper divisors (279002911400).

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

213111221320 is a wasteful number, since it uses less digits than its factorization.

213111221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733954 (or 733950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 213111221320 its reverse (23122111312), we get a palindrome (236233332632).

The spelling of 213111221320 in words is "two hundred thirteen billion, one hundred eleven million, two hundred twenty-one thousand, three hundred twenty".