213113212312 has 256 divisors, whose sum is σ = 560542187520. Its totient is φ = 73271001600.

The previous prime is 213113212289. The next prime is 213113212357. The reversal of 213113212312 is 213212311312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20599413 + ... + 20609755.

It is an arithmetic number, because the mean of its divisors is an integer number (2189617920).

Almost surely, 2^213113212312 is an apocalyptic number.

213113212312 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 213113212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280271093760).

213113212312 is an abundant number, since it is smaller than the sum of its proper divisors (347428975208).

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

213113212312 is a wasteful number, since it uses less digits than its factorization.

213113212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10490 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 213113212312 its reverse (213212311312), we get a palindrome (426325523624).

The spelling of 213113212312 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred twelve".