213320011344 has 240 divisors, whose sum is σ = 621385228800. Its totient is φ = 62537080320.

The previous prime is 213320011321. The next prime is 213320011403. The reversal of 213320011344 is 443110023312.

It is a happy number.

It is a super-3 number, since 3×213320011344³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143842827 + ... + 143844309.

It is an arithmetic number, because the mean of its divisors is an integer number (2589105120).

Almost surely, 2^213320011344 is an apocalyptic number.

213320011344 is a gapful number since it is divisible by the number (24) 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 213320011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310692614400).

213320011344 is an abundant number, since it is smaller than the sum of its proper divisors (408065217456).

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

213320011344 is a wasteful number, since it uses less digits than its factorization.

213320011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213320011344 its reverse (443110023312), we get a palindrome (656430034656).

The spelling of 213320011344 in words is "two hundred thirteen billion, three hundred twenty million, eleven thousand, three hundred forty-four".