213113311312 has 160 divisors (see below), whose sum is σ = 498580945920. Its totient is φ = 87049205760.

The previous prime is 213113311283. The next prime is 213113311321.

213113311312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213113311312² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 42594603 + ... + 42599605.

It is an arithmetic number, because the mean of its divisors is an integer number (3116130912).

Almost surely, 2^213113311312 is an apocalyptic number.

213113311312 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 213113311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249290472960).

213113311312 is an abundant number, since it is smaller than the sum of its proper divisors (285467634608).

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

213113311312 is a wasteful number, since it uses less digits than its factorization.

213113311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5675 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 213113 and 311312, that added together give a palindrome (524425).

The spelling of 213113311312 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred eleven thousand, three hundred twelve".