213301344004320 has 192 divisors, whose sum is σ = 789364134849024. Its totient is φ = 47731769272320.

The previous prime is 213301344004297. The next prime is 213301344004351. The reversal of 213301344004320 is 23400443103312.

It is a happy number.

It is a super-2 number, since 2×213301344004320² (a number of 29 digits) contains 22 as substring.

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, 1553699892 + ... + 1553837171.

It is an arithmetic number, because the mean of its divisors is an integer number (4111271535672).

Almost surely, 2^{213301344004320} is an apocalyptic number.

213301344004320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301344004320 is an abundant number, since it is smaller than the sum of its proper divisors (576062790844704).

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

213301344004320 is a wasteful number, since it uses less digits than its factorization.

213301344004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107537105 (or 3107537097 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 213301344004320 its reverse (23400443103312), we get a palindrome (236701787107632).

The spelling of 213301344004320 in words is "two hundred thirteen trillion, three hundred one billion, three hundred forty-four million, four thousand, three hundred twenty".