213121010330310 has 256 divisors, whose sum is σ = 547161619138560. Its totient is φ = 52940270960640.

The previous prime is 213121010330237. The next prime is 213121010330329. The reversal of 213121010330310 is 13033010121312.

It is a happy number.

It is a super-2 number, since 2×213121010330310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 64212414831 + ... + 64212418149.

It is an arithmetic number, because the mean of its divisors is an integer number (2137350074760).

Almost surely, 2^{213121010330310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121010330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273580809569280).

213121010330310 is an abundant number, since it is smaller than the sum of its proper divisors (334040608808250).

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

213121010330310 is a wasteful number, since it uses less digits than its factorization.

213121010330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213121010330310 its reverse (13033010121312), we get a palindrome (226154020451622).

The spelling of 213121010330310 in words is "two hundred thirteen trillion, one hundred twenty-one billion, ten million, three hundred thirty thousand, three hundred ten".