213344113321200 has 240 divisors, whose sum is σ = 708665598748800. Its totient is φ = 54798877056000.

The previous prime is 213344113321151. The next prime is 213344113321217. The reversal of 213344113321200 is 2123311443312.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 7265475 + ... + 21896925.

It is an arithmetic number, because the mean of its divisors is an integer number (2952773328120).

Almost surely, 2^{213344113321200} is an apocalyptic number.

213344113321200 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 213344113321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354332799374400).

213344113321200 is an abundant number, since it is smaller than the sum of its proper divisors (495321485427600).

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

213344113321200 is a wasteful number, since it uses less digits than its factorization.

213344113321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631920 (or 14631909 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 213344113321200 its reverse (2123311443312), we get a palindrome (215467424764512).

The spelling of 213344113321200 in words is "two hundred thirteen trillion, three hundred forty-four billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred".