213312213312 has 168 divisors, whose sum is σ = 621915785376. Its totient is φ = 63993600000.

The previous prime is 213312213299. The next prime is 213312213353.

213312213312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21539562 + ... + 21549462.

Almost surely, 2^213312213312 is an apocalyptic number.

213312213312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213312213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310957892688).

213312213312 is an abundant number, since it is smaller than the sum of its proper divisors (408603572064).

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

213312213312 is a wasteful number, since it uses less digits than its factorization.

213312213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10018 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

213312213312 divided by its sum of digits (24) gives a palindrome (8888008888).

It can be divided in two parts, 213312 and 213312, that added together give a palindrome (426624).

The spelling of 213312213312 in words is "two hundred thirteen billion, three hundred twelve million, two hundred thirteen thousand, three hundred twelve".