213420242400310 has 64 divisors (see below), whose sum is σ = 428854655623680. Its totient is φ = 75797435911680.

The previous prime is 213420242400289. The next prime is 213420242400319. The reversal of 213420242400310 is 13004242024312.

It is a super-3 number, since 3×213420242400310³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213420242400319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69102999 + ... + 72125341.

It is an arithmetic number, because the mean of its divisors is an integer number (6700853994120).

Almost surely, 2^{213420242400310} is an apocalyptic number.

213420242400310 is an abundant number, since it is smaller than the sum of its proper divisors (215434413223370).

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

213420242400310 is a wasteful number, since it uses less digits than its factorization.

213420242400310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037333.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213420242400310 its reverse (13004242024312), we get a palindrome (226424484424622).

The spelling of 213420242400310 in words is "two hundred thirteen trillion, four hundred twenty billion, two hundred forty-two million, four hundred thousand, three hundred ten".