213413314312 has 64 divisors (see below), whose sum is σ = 445804300800. Its totient is φ = 94966080000.

The previous prime is 213413314259. The next prime is 213413314337.

213413314312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656137 + ... + 925927.

It is an arithmetic number, because the mean of its divisors is an integer number (6965692200).

Almost surely, 2^213413314312 is an apocalyptic number.

213413314312 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 213413314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222902150400).

213413314312 is an abundant number, since it is smaller than the sum of its proper divisors (232390986488).

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

213413314312 is a wasteful number, since it uses less digits than its factorization.

213413314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269998 (or 269994 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 213413 and 314312, that added together give a palindrome (527725).

The spelling of 213413314312 in words is "two hundred thirteen billion, four hundred thirteen million, three hundred fourteen thousand, three hundred twelve".