213313423012320 has 192 divisors, whose sum is σ = 674575030934784. Its totient is φ = 56660705587200.

The previous prime is 213313423012271. The next prime is 213313423012337. The reversal of 213313423012320 is 23210324313312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 126962059 + ... + 128631221.

It is an arithmetic number, because the mean of its divisors is an integer number (3513411619452).

Almost surely, 2^{213313423012320} is an apocalyptic number.

213313423012320 is a gapful number since it is divisible by the number (20) 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 213313423012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337287515467392).

213313423012320 is an abundant number, since it is smaller than the sum of its proper divisors (461261607922464).

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

213313423012320 is a wasteful number, since it uses less digits than its factorization.

213313423012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670225 (or 1670217 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 213313423012320 its reverse (23210324313312), we get a palindrome (236523747325632).

The spelling of 213313423012320 in words is "two hundred thirteen trillion, three hundred thirteen billion, four hundred twenty-three million, twelve thousand, three hundred twenty".