213033012320310 has 256 divisors, whose sum is σ = 646339918694400. Its totient is φ = 43728360136704.

The previous prime is 213033012320231. The next prime is 213033012320357. The reversal of 213033012320310 is 13023210330312.

It is a super-2 number, since 2×213033012320310² (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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1039189401 + ... + 1039394379.

It is an arithmetic number, because the mean of its divisors is an integer number (2524765307400).

Almost surely, 2^{213033012320310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213033012320310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323169959347200).

213033012320310 is an abundant number, since it is smaller than the sum of its proper divisors (433306906374090).

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

213033012320310 is a wasteful number, since it uses less digits than its factorization.

213033012320310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215335.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213033012320310 its reverse (13023210330312), we get a palindrome (226056222650622).

The spelling of 213033012320310 in words is "two hundred thirteen trillion, thirty-three billion, twelve million, three hundred twenty thousand, three hundred ten".