213103006300800 has 1152 divisors, whose sum is σ = 948886905208320. Its totient is φ = 44241196032000.

The previous prime is 213103006300787. The next prime is 213103006300843. The reversal of 213103006300800 is 8003600301312.

It is a happy number.

213103006300800 is a `hidden beast` number, since 2 + 13 + 10 + 3 + 0 + 0 + 630 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2490322015 + ... + 2490407585.

It is an arithmetic number, because the mean of its divisors is an integer number (823686549660).

Almost surely, 2^{213103006300800} is an apocalyptic number.

213103006300800 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 213103006300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474443452604160).

213103006300800 is an abundant number, since it is smaller than the sum of its proper divisors (735783898907520).

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

213103006300800 is a wasteful number, since it uses less digits than its factorization.

213103006300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86742 (or 86722 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 213103006300800 in words is "two hundred thirteen trillion, one hundred three billion, six million, three hundred thousand, eight hundred".