213111231312 has 160 divisors (see below), whose sum is σ = 640419010560. Its totient is φ = 59803660800.

The previous prime is 213111231301. The next prime is 213111231461. The reversal of 213111231312 is 213132111312.

213111231312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213111231312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25786893 + ... + 25795155.

It is an arithmetic number, because the mean of its divisors is an integer number (4002618816).

Almost surely, 2^213111231312 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 213111231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320209505280).

213111231312 is an abundant number, since it is smaller than the sum of its proper divisors (427307779248).

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

213111231312 is a wasteful number, since it uses less digits than its factorization.

213111231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9641 (or 9635 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 213111231312 its reverse (213132111312), we get a palindrome (426243342624).

The spelling of 213111231312 in words is "two hundred thirteen billion, one hundred eleven million, two hundred thirty-one thousand, three hundred twelve".