213301403242400 has 216 divisors, whose sum is σ = 606032376718860. Its totient is φ = 73001549209600.

The previous prime is 213301403242351. The next prime is 213301403242429. The reversal of 213301403242400 is 4242304103312.

It can be written as a sum of positive squares in 6 ways, for example, as 90335216106256 + 122966187136144 = 9504484^2 + 11089012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63164015 + ... + 66455214.

Almost surely, 2^{213301403242400} is an apocalyptic number.

213301403242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301403242400 is an abundant number, since it is smaller than the sum of its proper divisors (392730973476460).

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

213301403242400 is a wasteful number, since it uses less digits than its factorization.

213301403242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129619288 (or 129619264 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 213301403242400 its reverse (4242304103312), we get a palindrome (217543707345712).

The spelling of 213301403242400 in words is "two hundred thirteen trillion, three hundred one billion, four hundred three million, two hundred forty-two thousand, four hundred".